The Quasilinear Parabolic Venttsel’ Problem with Discontinuous Leading Coefficients

New results on the strong solvability in Sobolev spaces of the quasilinear Venttsel’ problem for parabolic equations with discontinuous leading coefficients are obtained.

Авторы
Apushkinskaya D.E. 1, 2 , Nazarov A.I.1, 3 , Palagachev D.K.4 , Softova L.G.5
Журнал
Functional Analysis and its Applications
Номер выпуска
2
Язык
Английский
Страницы
158-163
Статус
Опубликовано
Том
57
Год
2023
Организации
  • 1 St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
  • 2 Peoples Friendship University of Russia
  • 3 Saint Petersburg State University
  • 4 Politecnico di Bari
  • 5 Università degli Studi di Salerno (UNISA)
Ключевые слова
quasilinear second-order parabolic equation; Venttsel’ problem; class; a priori estimate; existence theorem; analysis; functional analysis
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