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A Survey of Results of St. Petersburg State University Research School on Nonlinear Partial Differential Equations. I. / Осмоловский, Виктор Георгиевич; Архипова, Арина Алексеевна; Назаров, Александр Ильич; Уральцева, Н. Н.; Апушкинская, Д.Е.

в: Vestnik St. Petersburg University: Mathematics, Том 57, 01.03.2024, стр. 1-22.

Результаты исследований: Научные публикации в периодических изданиях › Обзорная статья

Harvard

Осмоловский, ВГ, Архипова, АА, Назаров, АИ, Уральцева, НН & Апушкинская, ДЕ 2024, 'A Survey of Results of St. Petersburg State University Research School on Nonlinear Partial Differential Equations. I', Vestnik St. Petersburg University: Mathematics, Том. 57, стр. 1-22. https://doi.org/10.1134/s1063454124010035

APA

Осмоловский, В. Г., Архипова, А. А., Назаров, А. И., Уральцева, Н. Н., & Апушкинская, Д. Е. (2024). A Survey of Results of St. Petersburg State University Research School on Nonlinear Partial Differential Equations. I. Vestnik St. Petersburg University: Mathematics, 57, 1-22. https://doi.org/10.1134/s1063454124010035

Vancouver

Осмоловский ВГ, Архипова АА, Назаров АИ, Уральцева НН, Апушкинская ДЕ. A Survey of Results of St. Petersburg State University Research School on Nonlinear Partial Differential Equations. I. Vestnik St. Petersburg University: Mathematics. 2024 Март 1;57:1-22. https://doi.org/10.1134/s1063454124010035

Author

Осмоловский, Виктор Георгиевич ; Архипова, Арина Алексеевна ; Назаров, Александр Ильич ; Уральцева, Н. Н. ; Апушкинская, Д.Е. / A Survey of Results of St. Petersburg State University Research School on Nonlinear Partial Differential Equations. I. в: Vestnik St. Petersburg University: Mathematics. 2024 ; Том 57. стр. 1-22.

BibTeX

@article{531ec55d31e941fabaae70c9198d52e7,
title = "A Survey of Results of St. Petersburg State University Research School on Nonlinear Partial Differential Equations. I",
abstract = "Abstract: The article contains a review of the most important results obtained in the framework of the St. Petersburg State University Research School on Nonlinear PDEs (the O.A. Ladyzhenskaya–N.N. Uraltseva School). The main attention is paid to the works carried out at the university over the past 50 years. The first part of the review concerns the solvability and qualitative properties of solutions to boundary value problems for the second order scalar quasilinear elliptic and parabolic equations, as well as variational problems. The planned second part of the review will include sections on fully nonlinear equations and systems of equations, and on free boundary problems.",
keywords = "boundary value problems, calculus of variations, quasilinear equations, variational inequalities",
author = "Осмоловский, {Виктор Георгиевич} and Архипова, {Арина Алексеевна} and Назаров, {Александр Ильич} and Уральцева, {Н. Н.} and Д.Е. Апушкинская",
year = "2024",
month = mar,
day = "1",
doi = "10.1134/s1063454124010035",
language = "English",
volume = "57",
pages = "1--22",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",

}

RIS

TY - JOUR

T1 - A Survey of Results of St. Petersburg State University Research School on Nonlinear Partial Differential Equations. I

AU - Осмоловский, Виктор Георгиевич

AU - Архипова, Арина Алексеевна

AU - Назаров, Александр Ильич

AU - Уральцева, Н. Н.

AU - Апушкинская, Д.Е.

PY - 2024/3/1

Y1 - 2024/3/1

N2 - Abstract: The article contains a review of the most important results obtained in the framework of the St. Petersburg State University Research School on Nonlinear PDEs (the O.A. Ladyzhenskaya–N.N. Uraltseva School). The main attention is paid to the works carried out at the university over the past 50 years. The first part of the review concerns the solvability and qualitative properties of solutions to boundary value problems for the second order scalar quasilinear elliptic and parabolic equations, as well as variational problems. The planned second part of the review will include sections on fully nonlinear equations and systems of equations, and on free boundary problems.

AB - Abstract: The article contains a review of the most important results obtained in the framework of the St. Petersburg State University Research School on Nonlinear PDEs (the O.A. Ladyzhenskaya–N.N. Uraltseva School). The main attention is paid to the works carried out at the university over the past 50 years. The first part of the review concerns the solvability and qualitative properties of solutions to boundary value problems for the second order scalar quasilinear elliptic and parabolic equations, as well as variational problems. The planned second part of the review will include sections on fully nonlinear equations and systems of equations, and on free boundary problems.

KW - boundary value problems

KW - calculus of variations

KW - quasilinear equations

KW - variational inequalities

UR - https://www.mendeley.com/catalogue/f3baa299-1a5f-3745-b0d4-b966ea97f4fc/

U2 - 10.1134/s1063454124010035

DO - 10.1134/s1063454124010035

M3 - Review article

VL - 57

SP - 1

EP - 22

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

ER -

ID: 120305678