Nonstationary Venttsel Problem with VMOx Leading Coefficients

We obtain some new results on strong solvability in Sobolev spaces of the linear Venttsel initial-boundary value problem for parabolic equations with discontinuous leading coefficients.

Авторы
Apushkinskaya D.E. 1, 2 , Nazarov A.I.1, 3 , Palagachev D.K.4 , Softova L.G.5
Журнал
Doklady Mathematics
Номер выпуска
2
Язык
Английский
Страницы
97-100
Статус
Опубликовано
Том
107
Год
2023
Организации
  • 1 St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences
  • 2 Peoples’ Friendship University of Russia (RUDN University)
  • 3 St. Petersburg State University
  • 4 Polytechnic University of Bari
  • 5 University of Salerno
Ключевые слова
linear second-order parabolic equations; Venttsel problem; a priori estimates; class VMO; solvability; uniqueness; mathematics; general
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