Arina Arkhipova
Информация об Архиповой Арине Алексеевне в Pure СПбГУ. Расписание преподавателя: Архипова Арина Алексеевна
Профессор
Курсы, читаемые в 2022-2023 учебном году:
Осень: Уравнения математической физики (механика, 4 курс);
Весна: Уравнения математической физики (механика, 3 курс),
Образование, ученые степени:
- 1969 - Выпускник матмеха ЛГУ.
- 1975 - Кандидат физ.-мат.наук, ЛГУ.
- 1997 - Доктор физ.-мат.наук, ЛГУ.
Профессиональная деятельность:
- 1997 - н.в.: Профессор кафедры математической физики математико-механического факультета СПбГУ;
- 1979 - 1997: Доцент кафедры математической физики математико-механического факультета СПбГУ;
- 1972 - 1979: Старший преподаватель математико-механического факультета СПбГУ;
Другая деятельность в области математики и преподавания:
- Зам. Председателя научной комиссии СПбГУ по математике и механике
-
Член экспертного совета ВАК по математике и механике
Награды, отличия:
- Почетный работник Высшего профессионального образования PФ
- Награждена медалью «Санкт-Петербургский Государственный Университет»
Читаемые курсы:
Lecture and Seminars on Calculus, Mathematical Physics, Calculus of Variations. Special Courses on Variational Inequalities, Sobolev Spaces Theory,
Boundary-Value Problems for Elliptic and Parabolic Equations and Systems of Equations (Linear and Nonlinear Theory).
Область научных интересов:
Nonlinear Partial Differemcial Equations, Variational Inequalities, Elliptic and Parabolic Nondiagonal Systems of Equations, Nonlinear Boundary-Value Problems, Qualitative Properties of Weak Solutions, Local and Global Solvability Problems;
Ученики:
RESEARCH PUBLICATIONS:
Book:
The regularity of Week Solutions of Boundary-Value Problems to Linear Elliptic Equations and Systems of Equations. Textbook. St - Petersburg State Univ.1998,
103 pp.
Research articles:
- On the supersolutions to the obstacle problem.//Izvestiya Akad. Nauk SSSR, 37 (5), 1973, pp.1155-1185.
- On the smoothness of the solutions of the obstacle problem. //Zapiski Nauchn. Semin. LOMI, 38, 1973, pp.7-9.
- Discontinuous obstacle problem for uniformly elliptic equations.//Vestnik Leningrad Univ. Ser. Math., 19, 1974, pp. 154-155.
- The Obstacle problem to some classes of quasilinear elliptic equations. //Problemy Math. Analysis, Leningrad Univ., math. 5, 1976, pp. 3-24.
- Variational problem for some degenerative functional.// Problemy Math. Analysis, Leningrad Univ., math. 6, 1977, pp.10-18.
- On the smoothness of the Dirichlet problem for nonunimformly elliptic equations. //Problemy Math. Analysis, 7, 1979, pp. 3-13.
- On the properties of weak solutions of the Euler equations of some class of nonsmooth functionals. //Izvestiya VUZov, ser. Math. 11, 1982, pp. 5-9.
- On the smoothness of a solution of some system of variational inequalities. //Vestnik Leningrad Univ., ser. Math. 7, 1982, pp. 48-52.
- On the best possible smoothness of the problem with two-sided constraints. //Vestnik Leningrad Univ., ser. Math., 7, 1984, pp. 5-9.
- On the best possible smoothness of the solution of nonstationary one or two obstacles problem.// Problemy Math. Analysis, Leningrad Univ., math. 9, 1984, pp.149-156.
- Regularity of the solution of some system of variational inequalities with a constrain in Rn.// Vestnik Leningrad Univ., ser. math., 13, 1984, pp. 5-9.
- On the solution of weak- connected parabolic system with one-side boundary constrain.// Vestnic Leningrad Univ. ser. math. 11, 1987, pp. 3-6.
- Regularity of the solutions of some diagonal elliptic systems of variational inequalities.// Problemy Math. Analysis, Leningrad Univ., math. 10, 1986, pp. 3-16.
- Two- sided boundary contraints problem// Proceedings of the Operator Theory Summer School, X. (Thesis of the lecture). Donetsk, Academy of Science of the USSR, 1986.
- Regularity of solutions of a problem with two-sided constraints on a boundary for elliptic and parabolic equations (with Uraltseva N.N.).// Proc. Steklov Inst. Math. 2, 1989, pp. 1-19 ( In Russian: Trudy MIAN, 179, 1987, pp. 5-22).
- On the regularity of solutions of the problem with two- sided boundary constraints (with Uraltseva N.N.). //Vestnik Leningrad Univ. Math. 19 (1), 1986, pp. 3-9.
- The regularity of solutions of diagonal elliptic systems under convex boundary constraints ( with Uraltseva N.N.). //Journal the Soviet Math. 40 (5), 1988, pp. 591-599 (in Russian: Zapiski Nauchn. Semin. LOMI, 18, 1986, pp. 5-17).
- The regularity of solutions of variational inequalities with convex boundary constraints for nonlinear operators with diagonal mail part(with Uraltseva N.N). //Vestnik Leningrad Univ. Math. 15, 1987, pp. 13-19.
- The best possible smoothness for solutions of variational inequalities with convex boundary constraints (with Uraltseva N.N).//Journal of Soviet Math. 49 (5), 1990, pp. 1121-1128 (In Russian: Zapiski nauchn. Semin. LOMI, 19, 1987, pp. 5-16).
- The problem with convex boundary consraints (with Uraltseva N.N). //Uspekhi Math. Nauk 42 (4), 1987.
- On the smoothness of the solution of the Dirichler problem for nonuniformly elliptic equations.// Sel. Math. Sol. 5 (2), 1986, pp. 127-136.
- On the reqularity of the solutions of the variational inequalities. //Proceedings of the Operator Theory School, XIII. Thesis of the lecture. Kujbyshev, Academy of Science of the USSR.1988.
- On the regularity of the solution of the obstacle up to the boundary problem for strong elliptic operators. //Some Applications Func.Analysis to Math. Physics Problems. Novosibirsk, SO AN SSSR, 1988, pp. 3-20.
- On the second derivatives of the solutions of some variational inequalities introduced by elliptic nondiagonal systems.// Problemy Math. Analysis, Leningrad Univ., Math. 11, 1990, pp. 6-17.
- On the existence of smooth solutions of problems with convex constraints on the boundary to parabolic systems (with Uraltseva N.N). //Journal of Soviet Math. 56 (2), 1991, pp. 2281-2285. (In Russian: Zapiski Nauchn.Semin. LOMI, 20, 1989, pp.3-9).
- Holder norm estimate for approximations of the boundary constraint problem to diagonal parabolic system.// Vestnik Leningr. Univ. ser. Math. Depon. VINITI № 1149- B89, 21.02.89, 1989.
- The application of the reverse Holder inequalities to investigation of the regularity of of solutions of elliptic and parabolic systems.// Proceedings of the Conference on the PDEs, Frunze, USSR, 1989. Thesis of the lecture.
- Reverse Holder inequalities with the boundary integrals and L-p estimates in the Neumann problems.// Embedding Theorems Applications to Math Physics Problems. Novosibirsk, SO AN SSSR, 1989, pp.3-17.
- Reverse Holder Inequalities in Parabolic Initial- Boundary Problems.// Proceedings of the Operator Theory School, XV. Thesis of the lecture. Ul’anovsk, Academy of Science of the USSR, 1990.
- Some applications of the reverse Holder inequalities with the boundary integrals. //Problemy J. Math. Sci. 72 (6), 1994 (In Russian: Problemy Math. Analysis. Petersburg Univ. 12, 1992, pp. 13-29.
- L-p estimates of the gradients of the solutions of the initial- boundary problems to quasilinear parabolic systems.//J .of Math. Sciences, 73 (6), 1995, pp. 609 - 617 (In Russian: Problemy Math. Analysis, Petersburg Univ., Math. 13, 1992, pp. 5-18).
- Partial regularity of the solutions of quasilinear elliptic systems with nonsmooth Neumann-type boundary condition.// Russian Acad. Sci. Sb. Math. 78 (1), 1994, pp. 215-230 ( In Russian: Matematich. Sbornyk, 184 (2), 1993 ).
- Reverse Holder Inequalities in parabolic problems with anisotropic data. //Trudy Inst. Of Math. SO RAN, 24, 1994, pp.3-19.
- On the regularity of solutions of the oblique derivative problem for quasilinear elliptic systems. //Zapiski Nauchn.Semin. POMI, 213, 1994, pp. 1-8.
- Regularity of the solutions of quasilinear elliptic systems under nonlinear boundary condition. //J.Math.Sci, 77 (4), 1995, pp.3277-3294 (In Russian: Problemy Math. Analysis, Petersburg Univ. 14, 1995, pp. 3-28).
- Reverse Holder inequalities with boundary integrals and L-p - estimates for solutions of elliptic and parabolic nonlinear boundary - value problems. //Preprint 93- 123, CWRU, Cleveland, USA, 1993.
- On the Neumann problem for quasilinear parabolic systems under controllable growth conditions. I. L-p - regularity results.// Preprint 93 - 127 CWRU, Cleveland, USA, 1993.
- On the Neumann problem for quasilinear parabolic systems under controliable growth conditions. II. Partial Holder continuity of solutions.// Preprint 93-128, CWRU. Cleveland, USA. 1993.
- On the Regularity of the Oblique Derivative Problem to Quasilinear Elliptic Systems. //Preprint 93-131, CWRU. Cleveland, USA. 1993.
- Mathematical Physics Methods. Program and methodical instructions. State Russian Committee of High Education.// Program < Universities of Russia>, F.00.01 Math. SPbGU, 2, 1995.
- On the regularity of the solutions of the Neumann problem for quasilinear parabolic systems.// Russian Acad. Sci. Izv. Math. 45 (2), 1995, pp. 231-253 ( In Russian: Izvestiya Ross. Akad. Nauk, ser. Math. 58, 1994, pp. 3-25).
- On the regularity of the solutions of some model nonlinear elliptic systems under oblique derivative type boundary condition.// Zapiski Nauchn. Semin. POMI, 221, 1995, pp. 30-57.
- On the regularity of solutions of boundary-value problem for quasilinear elliptic systems with quadratic nonlinearities. //J. Math. Sci. 80 (6), 1996, pp. 2208-2225 (In Russian: Problemy Math. Analysis, Petersburg Univ. math. 15, 1995).
- Reverse Holder inequalities with boundary integrals and L-p estimates for solutions of elliptic and parabolic nonlinear boundary - value problems. //Amer. Math. Soc. Transl. 164 (2), 1995.
- On the Neumann problem for nonlinear elliptic systems with quadratic nonlinearity. //St. Petersburg Math.J. 8 (5), 1997, pp. 1-17 ( In Russian: Algebra & Analysis, St-Petersburg 8 (5), 1996 ).
- Global solvability for nondiagonal parabolic systems of variational structure in the case of two spatial variables..// Problemy Math. Analysis, Petersburg Univ. Math. 16, 1996, pp. 3-40.
- Sharp estimates for Solutions of a parabolic Signorini problem (with Uraltseva N.N.).// Math. Nachr. 177, 1996.
- On the initial boundary- value problems for nondiagonal quasilinear parabolic systems with quadratic nonlinearities.// International Conference Nonlinear PDE, Kiev, 1997. Books of Abstracts.
- On the partial regularity up to the boundary of weak solutions to quasilinear parabolic systems with quadratic growth. //Zapiski Nauchn. Semin. POMI, 249, 1997, pp.20-39.
- On some modifications of Gehring Lemma arising from the investigation of parabolic boundary -value problems.// Problemy Math. Analysis. Petersburg Univ., Math. 17, 1997, 1997, pp. 20-45.
- Partial regularity of weak solutions of nonlinear boundary- value problems for elliptic and parabolic systems of the second order. //Avtoreferat of the doctoral thesis. St-Petersburg state Univ., 1997.
- On the global in time solvability of the Cauchy - Diriclet Problem to nondiagonal parabolic systems with quadratic nonlinearities.// International Conference PDE Prague’98. Book of Abstract, p. 42.
- Регулярность обобщенных решений краевых задач для линейных уравнений. (учебное пособие) // Изд-во СпбГУ, 1998 г., 101 стр.
- Об одном обобщении леммы Геринга. (совм. С Ладыженской О.А.). // Записки ПОМИ, т.259, (1999), с.7-18.
- On the solvability problem for one class of nondiagonal parabolic systems with quadratic nonlinearites. (thesises)// International conference NPDE’99. L’viv, August 23-29,1999. Book of Abstracts, p.8.
- Методы математической физики. Учебная программа с методическими указаниями для студентов математико-механического факультета, специальности: механика, прикладная механика. // Гос. Комитет России по Высшему Образованию. Программа Университеты России. СпбГУ, вып.2, с.15-22, 1996. (Thesises of lectures on Mathematical Physics for students of Mathematical Faculties. Program “ Universities of Russia”.)
- Regularity of weak solutions of boundary-value problems for linear equations. (for students).// St-Petersburg State Univ., 1998, 101 pp.
- .Introduction in Functional Analysis.( book for students). // St-Petersburg State University, 1999, 50 pp.
- Local and global in time solvability of the Cauchy-Dirichlet problem for a class of nonlinear nondiagonal parabolic systems. // Algebra & Analysis, St-Petersburg, Russia v.6, (1999), 81-119. in English: St-Petersburg Math.J.,v.6 (2000).
- Cauchy-Neumann problem to a class of nondiagonal parabolic systems with quadratic growth nonlinearities. I.Continuability of smooth solutions. // CMUC, v.41, (4), (2000), 693-718.
- Cauchy-Neumann problem to a class of nondiagonal parabolic systems with quadratic growth nonlinearities . II. Local and Global Solvabiliry Results.// CMUC, v.42 (1), (2001), 53-76.
- Partial regularity up to the boundary of weak solutions of elliptic systems with nonlinearity q greater than two// Zapiski Nauchn. Seminarov POMI, v.271, (2000), 63-82.
- On the classical solvability of Cauchy-Dirichlet problem for two-dimensional nondiagonal parabolic systems// Trudy St-Petersburg Mathematical Society. V.9, (2001), 3-22.
- Solvability problem for strongly nonlinear nondiagonal parabolic systems.// Math. Bohemica, v. 127 (2002), n.2, Proceedings of Equadiff-10.
- Continuability in time of smooth solutions of strong-nonlinear non-diagonal parabolic systems.// Ann.Scuola Norm. Sup.Pisa, Cl. Sci. (5), v.1, (2002), 153-167.
- On the global solvability of the Cauchy-Dirichlet problem for a class of nondiagonal parabolic systems with q-nonlineariry on the gradient, 1<q (2002), 34-78. in English: J. Math Sci., v.123 (6), (2004), 4539-45-83.
- Solvability problem for nondiagonal elliptic systems with quadratic nonlinearity on the gradient. (the two-dimensional case)// Zapiski POMI, v.295, (2003), 5-17.
- Regularity of solutions of the diffraction-type problem for linear elliptic systems in the Campanato spaces. (with Osman Ell Homahmi) // Problemy Matem. Analiza, (Tamara Rozhkovskaya, Novosibirsk), v..24, (2002), 29-60.
- Quasireverse Holder inequalities and a priori estimates for quasilinear elliptic systems // Rendic. Mat. Acc. Lincei, s.9, v. 14, (2003), 91-108.
- Boundary a priori estimates for solutions of nondiagonal elliptic systems with strong nonlinearity. // Izvestija RAN, ser mat., v.68, n. 2, (2004), 23-38 .
- New a priori estimates for q- nonlinear elliptic systems with strong nonlinearities in the gradient 1<q<2. // Zapiski Nauchn. Semin. POMI, v.310, (2004), 19-48.
- On the smoothness of weak solutions of strong- nonlinear nondiagonal elliptic systems (the two-dimensional case)// Zapiski Nauchn. Semin. POMI. V.318, (2004), 5-13.
- Nina Nikolaevna Uraltseva. To 70-th birthday. (with Seregin G.A.) // Zapiski Nauchn. Semin. POMI, v.310, (2004), 7-18.
- Quasireverse Holder inequalities in parabolic metric and their applications.// AMS Translations (Advances in Math. Sci., v.220, (2007), 1-26.
- Monotonicity condition and a priori estimates of the Holder norm for class of nondiagonal elliptic systems with quadratic nonlinearity. // Problemy Matem. Analiza, v.34, (2006), 11-22. in english: J. Math. Sci., v.142, n.1, (2007), 1733-1748.
- New a priori estimates for nondiagonal strongly nonlinear parabolic systems// Banach Center Publications, (2008). Proceedings of the conference “Parabolic and Navie-Stokes equations”, 2006, September, Bedlewo.
- Variational problem with an obstacle in R^N for a class of quadratic functionals // Zariski Nauchn. Semin. POMI, v.362, 1-32.
- Signorini problem in R^N for a class of quadratic functionals // AMS Translations, ser.2, v.229 (2010), 15-38.
- A priori estimates for quasilinear parabolic systems with quadratic nonlinearities in the gradient. (with J. Stara) // Comment. Math. Univ. Carolin. , v. 51, (2010)
- Задача с препятствием выходящим на границу области для некоторого класса квадратичных функционалов в R^N. // ж. Алгебра и Анализ, Ст-Петербург, т.22, n.6, (2010), 3-42.
- Heat flows for a nonconvex Signorini type problem in $ R^N $. //Problemy Matem.Analiza, v. 58, (2011), pp.25-46. in English: J. of Math.Sci., v.176, n.6, (2011),732-758.
- Regularity problem for solutions of variational problems with nonconvex noncompact obstacles fixed up to the boundary of a domain in $R^N$. // thesis of the lecture for the international conference “KROMSH-2011, pp.4-5, September 17-29, 2011. Crimea, Laspi-Batiliman.
- The existence of heat flow for problems with nonconvex obstacles outgoing to the boundary. // J. of Math. Sci., v. 184 (3), (2012), 225-258. (in Russian: Существование теплового потока для задачи с невыпуклым препятствием, выходящим на границу области, Cб. Проблемы Математ. Анализа, Вып. 64, (2012), с.3-30.
- Об оценке сингулярного множества в вариационной задаче с невыпуклым ограничением в $ R^N$ , заданным вплоть до границы области// Сб. Проблемы Математ. Анализа, вып. 68, (2013). // in English: J. of Math. Sci. , v.189 (3), 2013, 335-341
- Estimates for solutions to the model Venttsel problem in Campanato spaces // J. of Math. Sci., v.191 (2), 2013, 150-161 (with A.A. Lukina). In Russian: Problemy Mat. Analiza, vyp. 70, 2013, 47-56.
- “Regularity of weak solutions to the model Venttsel problem for linear divergence elliptic operators in Campanato spaces”.// J. of Math. Sci., v. 195 (5), 2013, 609-621 (with A.A. Lukina). In Russian: Problemy Mat. Analiza, vyp. 72, 2013, 39-50.
- “Partial regularity for solutions of quasilinear parabolic systems with nonsmooth in time principal matrix” // Nonlinear Analysis, Ser. A:Theory and Methods, v. 95, 2014, 421-435, (with O.John, J. Stara)
- “ Partial regularity of weak solutions to the model Venttsel problem for quasilinear elliptic systems of equations” // J. of Math. Sci., v.198 (6), 2014, 655-676. // in Russian: Problemy Mat. Analiza, vyp. 75, 2014.
- “Регулярность решений эллиптических и параболических линейных систем уравнений: учебное пособие. 240 стр., Изд-во СПб: Изд-во С-Петербургского ун-та, 2014, ISBN 978-5-288-05591-1 (с Нежинской И.В.)
- “Boundary partial regularity for solutions of quasilinear parabolic systems with non smooth in time principal matrix.” // Nonlinear Analysis, Ser. A: Theory and Methods., v.120, 2015, 236-361 (with J. Stara).
- “Partial regularity of solutions to model Venttsel problem for quasilinear elliptic systems of equations with quadratic nonlinearity relative to the gradient.” //J. of Math. Sci., v.210 (5), 2015, 571-589. In Russian: Problemy Mat. Analiza, vyp. 82, 2015, 15-30.
- “Regularity of weak solutions to the model Venttsel problem for linear parabolic systems with non smooth in time principal matrix. A(t)-caloric approximation method.” // Manuscripta Math., v. 151(3), 2016, pp.519-548; electronic version, DOI:10.1007/s00229-016-0838-y, 2016. (with J. Stara)
- “Regularity of weak solutions to linear and quasilinear parabolic systems of non divergence type with non smooth in time principal matrix:A(t)-caloric method.” // Forum Mathematique, // electronic version: DOI: 101515/forum-2015-0222. (with J. Stara)
- Regularity of weak solutions to a model problem with conjugation conditions for quasilinear parabolic systems of equations”. J. of Math.Sci., v/219(6), 2016. In Russian: “Регулярность обобщенных решений модельной задачи с условиями сопряжения для квазилинейных параболических систем уравнений», // сб. Проблемы Матем. Анализа, в печати, 2016.
- « Регулярность решений модельной задачи Вентцеля для квазилинейных параболических систем с негладкими по времени главными матрицами». Журнал Вычислительной Математики и Математической Физики», Т.57 (3), 2017.
- Regularity of solutions to quasilinear parabolic systems and the Naumann boundary condition// Journal of Math. Sci., v.232 (3), pp.232-253, July 2018. (with Grishina G.V.) DOI: 10.1007/s10958-018-3871-4
- Regularity of solutions to oblique derivative problem for quasilinear parabolic systems with time-nonsmooth principal matrix. // Thesis to the International Conference "KROMSH-2018", September 18-29, 2018, Crimea Federal University.
- Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution. // St.Petersburg Math. J., v.30 (2), 2019, pp. 181-202
- К юбилею В.Г. Осмоловского. .// Vestnik St.Petersburg State University. Mathematics. v.5 (1), 2018, pp.165 (with Bakharev F.L. and the others)
- Regularity of solutions to a model oblique derivative problem for quasilinear parabolic systems with nondiagonal principal matrices. // Vestnik St. Peterrsburg State University, Mathematics. v.52 (1), pp. 1-18, (2019), ISSN 1063-4541 (with Grishina G.V.)
- Regularity problem for one class of nonlinear parabolic systems with non-smooth in time principal matrix. // Comment. Math. Univ. Carolinae, v. 60 (2), 2019, pp. 231-267. (with J. Stara)
- Two-phase problem for quasilinear parabolic systems with nondiagonal principal matrix. Regularity of weak solutions. // J. of Math. Sci., v.242 (1), October 2019, pp 25-51.
- Weak global solvability of the two-phase problem for a class of parabolic systems with strong nonlinearity in the gradient. The case of two spatial variables. 2020, // St. Petersburg Mathematical Journal. 31, 2, P. 273-296
- Regularity of Weak Solutions to Nondiagonal Elliptic Systems with Composite Boundary Conditions, 2020, // Journal of Mathematical Sciences (United States). 247, 6, P. 791-819 (with Grishina, G. V.)
- Global Solvability of the Cauchy-Dirichlet problem for a class of strongly nonlinear parabolic systems, 2020, // Journal of Mathematical Sciences. 250, 2, P. 201-231
- Local regularity of weak solutions to quasilinear elliptic systems with one-side condition on quadratic nonlinearity in the gradient // JMS, 2021, v. 255 (4), 388-408. DOI: 10.1007/s10958-021-05380-9 .// Translated from Russian: Problems Math. Anal. (PMA), 2021, vyp. 108, 35-52.
- On the regularity of weak solutions to nondiagonal elliptic systems with composite boundary conditions (with Grishina G.V.) International conference in Suzdal , July 3-8, 2020. Theses of the lecture, p.131-132. ISBN 978-5-9984-1244-8
- Regularity problem to a class of strongly nonlinear parabolic systems —International conference dedicated to Petrovsky I.G. 24 session: ” Differentional Equations and Related Questions”. December 26-30, 2021 . Theses of the lecture, p.11.
- Regularity conditions for nonlinear elliptic systems with quadratic nonlinearities in the gradient // JMS, 2021, v.259 (2), 128-147. DOI: 10.1007/s10958-021-05606-w . Translated from Russian: PMA, 2021, vyp. 112, 19-34.
- Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient. // Manuscripta Math., 2022, v. 170 , 497-529. DOI: 10.1007/s00229-022-01376-0
- Parabolic systems with quadratic nonlinearities in the gradient. Regularity of solutions. // JMS, 2022, v. 264 (5), 525-551. DOI: 10.1007/s10958-022-06015-3 Translated from Russian: PMA, 2022, vyp. 116, 35-58.
- Local regularity of weak solutions to a class of strongly nonlinear parabolic systems. 9 International Conference “Differential and Functional Differentional Equations” (DFDE), 28.06.22-05.07.22, Moscow, RUDN, MIAN, MGU. ISBN: 978-5-209-11108-5. Theses of the lecture, pp. 8-9.
- Памяти Б.М. Макарова \\ Вестник СПбГУ, 2022, Матем., Мех., Астрон. Б том 8 (1), с. 190-192. (Александров А.Б., Архипова А.А…..)
- Quasilinear elliptic and parabolic systems with nondiagonal principal matrices and strong nonlinearities in the gradient. Solvability and regularity problems// Contemporary Mathematics. Fundamental Directions.” 2023, v. 69 (1), 1-12. In Russian: 2023, v.69 (1), 1-12.
- Unbounded weak solutions to strongly q-nonlinear elliptic systems. Local regularity //JMS, 2023, v.276 (1), 15-36. DOI: 10.1007/s10958-023-06722-5 In Russian: PMA, 2023, vyp.125, 17-35.
- Boundary regularity of unbounded weak solutions of the oblique derivative problem to a class of strongly nonlinear elliptic systems // ж. Алгебра и Анализ, С. Петербург, 2023, принята к печати.
Scientific International Experience:
- Germany, USA, Czechia, Japan, Italy, Portugal
- Spring Semester of 1993 – Visiting Professor of Case Western Reserve University, Cleveland, USA