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• 2020

  О гладкости обобщенных решений недиагональных эллиптических систем при составных краевых условиях

  Архипова, А. А. & Гришина, Г. В., 2020, In : МЕЖВУЗОВСКИЙ СБОРНИК ПРОБЛЕМЫ МАТЕМАТИЧЕСКОГО АНАЛИЗА. 102, p. 33-58

  Research output
• 2015

  Partial regularity of solutions to model Venntsel problem for quasilinear elliptic systems of equations with quadratic nonlinearity relative to the gradient

  Arkhipova, A. A., 2015, In : Journal of Mathematical Sciences. 210, 5, p. 571-589

  Research output

  2 Citations (Scopus)
• 2017

  New regularity results for Nonlinear Parabolic Systems.

  Архипова, А. А., 2017, p. 11-12.

  Research output
• 2013

  Regularity of Weak Solutions to the Model Venttsel Problem for Linear Divergence Elliptic Operators in Campanato Spaces

  Arkhipova, A. A. & Lukina, A. A., 2013, In : Journal of Mathematical Sciences. 195, 5, p. 609-621

  Research output
  3 Citations (Scopus)
• 2015

  Boundary partial regularity for solutions of quasilinear parabolic systems with non smooth in time principal matrix

  Arkhipova, A. A. & Stara, J., 2015, In : Nonlinear Analysis, Theory, Methods and Applications. 120, p. 236-261

  Research output

  9 Citations (Scopus)
• 2019

  Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution

  Arkhipova, A. A., Feb 2019, In : St. Petersburg Mathematical Journal. 30, 2, p. 181-202 22 p.

  Research output

  • Quasilinear Parabolic Systems
  • Global Smooth Solution
  • Heat Flow
  • Quadratic Functional
  • Elliptic Operator
  1 Citation (Scopus)
• 2020

  Regularity of Weak Solutions to Nondiagonal Elliptic Systems with Composite Boundary Conditions

  Arkhipova, A. A. & Grishina, G. V., 1 Jun 2020, In : Journal of Mathematical Sciences (United States). 247, 6, p. 791-819 29 p.

  Research output

  • Elliptic Systems
  • Composite
  • Weak Solution
  • Ball
  • Boundary conditions

• Global Solvability of the Cauchy-Dirichlet problem for a class of strongly nonlinear parabolic systems

  Arkhipova, A. A., 8 Sep 2020, In : Journal of Mathematical Sciences. 250, 2, p. 201-231

  Research output

  • Nonlinear Parabolic Systems
  • Global Solvability
  • Polynomial Growth
  • Elliptic Operator
  • Dirichlet Problem
• 2013

  Estimate of the singular set of the solution to variational problem with a nonconvex obstacle that goes out to the boundary

  Arkhipova, A. A., 2013, In : Journal of Mathematical Sciences. 189, 3, p. 335-341

  Research output
• 2016

  Regularity of weak solutions to a model problem with conjugation conditions for quasilinear parabolic systems

  Arkhipova, A. A., 2016, In : Journal of Mathematical Sciences. 219, 6, p. 850-873 23 p.

  Research output

  • Quasilinear Parabolic Systems
  • Conjugation
  • Linear systems
  • Weak Solution
  • Regularity
  1 Citation (Scopus)
• 2014

  Partial Regularity of Weak Solutions to the Model Venttsel Problem for Quasilinear Elliptic Systems of Equations. Method of A-Harmonic Approximation

  Arkhipova, A. A., 2014, In : Journal of Mathematical Sciences. 198, 6, p. 655-676

  Research output

  • Quasilinear Elliptic Systems
  • Partial Regularity
  • Bibliographies
  • Boundary value problems
  • System of equations
  2 Citations (Scopus)
• 2011

  A problem with an obstacle that goes out to the boundary of the domain For a class of quadratic functionals on ℝN

  Arkhipova, A. A., 2011, In : St. Petersburg Mathematical Journal. 22, 6, p. 847-875

  Research output
  1 Citation (Scopus)

• A problem with an obstacle that goes out to the boundary of the domain for a class of quadratic functionals on R^N

  Arkhipova, A. A., 2011, In : St. Petersburg Mathematical Journal. 22, 6, p. 847-875

  Research output
• 2013

  Estimates for solutions to the model Venttsel problem in Campanato spaces

  Arkhipova, A. A. & Lukina, A. A., 2013, In : Journal of Mathematical Sciences. 191, 2, p. 150-161

  Research output
  3 Citations (Scopus)
• 2019

  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

  Arkhipova, A. A., Mar 2019, In : АЛГЕБРА И АНАЛИЗ. 31, 2, p. 118-151

  Research output

  • Global Solvability
  • Parabolic Systems
  • Gradient
  • Nonlinearity
  • Curve

• Two-Phase Problem for Quasilinear Parabolic Systems with Nondiagonal Principal Matrix. Regularity of Weak Solutions

  Arkhipova, A. A., 7 Oct 2019, In : Journal of Mathematical Sciences (United States). 242, 1, p. 25-51 27 p.

  Research output

  • Quasilinear Parabolic Systems
  • Weak Solution
  • Regularity
  • Admissible Set
  • Singular Set
• 2014

  Регулярность решений линейных эллиптических и параболических систем уравнений

  Архипова, А. А. & Нежинская, И. В., 2014, Издательство Санкт-Петербургского университета.

  Research output
• 2011

  Heat flows for a nonconvex Signorini type problem in R^N

  Arkhipova, A., 2011, In : Journal of Mathematical Sciences. 176, 6, p. 732-758

  Research output
  1 Citation (Scopus)
• 2019

  Regularity problem for one classof nonlinear parabolic systems with non-smooth in time principal matrices

  Arkhipova, A. A. & Stara, J., 2019, In : Commentationes Mathematicae Universitatis Carolinae. 60, 2, p. 231-267 37 p.

  Research output

• Regularity of solutions to a model oblique derivative problem for quasilinear parabolic systems with nondiagonal principal matrices

  Arkhipova, A. A. & Grishina, G. V., 2019, In : Vestnik St.Petersburg University. 52, 1, p. 1-18

  Research output

  • Quasilinear Parabolic Systems
  • Oblique
  • Regularity of Solutions
  • Weak Solution
  • Lateral
  2 Citations (Scopus)
• 2014

  Partial regularity for solutions of quasilinear parabolic systems with nonsmooth in time principal matrix

  Arkhipova, A. A., Stará, J. & John, O., 2014, In : Nonlinear Analysis, Theory, Methods and Applications. 95, p. 421-435

  Research output
  11 Citations (Scopus)
• 2020

  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.

  Архипова, А. А., 2020, In : St. Petersburg Mathematical Journal. 31, 2, p. 273-296

  Research output

  • Global Solvability
  • Parabolic Systems
  • Gradient
  • Nonlinearity
  • Curve
• 2016

  Regularity of weak solutions to the model Venttsel problem for linear parabolic systems with nonsmooth in time principal matrix. A(t)-caloric method

  Arkhipova, A. A., 2016, In : Manuscripta Mathematica. 151, 3, p. 519-548

  Research output

  • Parabolic Systems
  • Weak Solution
  • Linear Systems
  • Regularity
  • Model
  7 Citations (Scopus)
• 2012

  The existence of heat flow for problems with nonconvex obstacles outgoing to the boundary

  Arkhipova, A. A., 2012, In : Journal of Mathematical Sciences. 184, 3, p. 225-258

  Research output
• 2017

  Regularity of weak soluyions to linear and quasilinear parabolic systems of non divergence type with non smooth in time principal matrix: A(t)-caloric method

  Arkhipova, A. A. & Stara, J., 2017, In : Forum Mathematicum. 29, 5, p. 1039-1064 25 p.

  Research output

  • Quasilinear Parabolic Systems
  • Divergence
  • Regularity
  6 Citations (Scopus)

• Михаил Захарович Соломяк (1931–2016)

  Александров, А. Б., Архипова, А. А., Гуреев, Т., Демьянович, Ю. К., Дубова, Т. П., Каннай, Я., Кароль, А. И., Кисляков, С. В., Кохась, К. П., Лаптев, А., Лодкин, А. А., Макаров, Б. М., Назаров, А. И., Назаров, Ф. Л., Подкорытов, А. Н., Потепун, А. В., Розенблюм, Г. В., Романовский, И. В., Соболев, А. В., Суслина, Т. А. & 6 others, Уральцева, Н. Н., Филонов, Н. Д., Флоринский, А. А., Широков, Н. А., Яковенко, С. & Яфаев, Д. Р., 2017, In : ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ. 4, 1, p. 169-171

  Research output

• Regularity of solutions of the model Venttsel"s problem for quasilinear parabolic systems with non smooth in time principal matrices

  Архипова, А. А., 2017, In : Computational Mathematics and Mathematical Physics. 57, 3, p. 476-496 20 p.

  Research output

  5 Citations (Scopus)
• 2019

  Памяти Людмилы Яковлевны Адриановой (1935-2018)

  Анитова, Е. С., Архипова, А. А., Басов, В. В., Бегун, Н. А., Бибиков, Ю. Н., Васильева, Е. В., Вершик, А. М., Гаген-Торн, В. А., Дыбкова, Е. В., Звягинцева, Т. Е., Иванов, Б. Ф., Изобов, Н. А., Ильин, Ю. А., Лезина, Т. А., Лодкин, А. А., Мазаник, С. А., Матвеев, С. К., Назаров, А. И., Невзоров, В. Б., Пилюгин, С. Ю. & 11 others, Плисс, В. А., Разов, А. И., Родионова, А. А., Розов, Н. Х., Романовский, И. В., Савельева, А. Г., Товстик, П. Е., Товстик, Т. М., Уральцева, Н. Н., Холшевников, К. В. & Чурин, Ю. В., 2019, In : ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ. 6 (64), 2, p. 347-348

  Research output

  Open Access

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• ПАМЯТИ ВИКТОРА АЛЕКСАНДРОВИЧА ПЛИССА (1932-2019)

  Анитова, Е. С., Архипова, А. А., Асташова, И. В., Басов, В. В., Бегун, Н. А., Бибиков, Ю. Н., Бодунов, Н. А., Жиглевич, А. Б., Звягинцева, Т. Е., Иванов, Б. Ф., Иванов, О. А., Изобов, Н. А., Ильин, Ю. А., Кигурадзе, И. Т., Красовский, С. Г., Крыжевич, С. Г., Кузнецов, Н. В., Куржанский, А. Б., Лезина, Т. А., Мазаник, С. А. & 16 others, Морозов, Н. Ф., Назаров, А. И., Осипенко, Г. С., Осипов, А. В., Петров, Н. Н., Пилюгин, С. Ю., Разов, А. И., Родионова, А. А., Розов, Н. Х., Савельева, А. Г., Сёдербакка, Г., Тихонов, Б. Г., Товстик, П. Е., Третьяков, В. Е., Чурин, Ю. В. & Юшков, М. П., 30 Sep 2019, In : ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ. 6 (64), 3, p. 525-527

  Research output