Peano type theorem for abstract parabolic equations

We consider parabolic problems with non-Lipschitz nonlinearity in the different scales of Banach spaces and prove local-in-time existence theorem. © 2009 Elsevier Masson SAS. All rights reserved.

Авторы
Издательство
Elsevier Masson SAS
Номер выпуска
4
Язык
Английский
Страницы
1407-1421
Статус
Опубликовано
Том
26
Год
2009
Организации
  • 1 Department of Differential Equations and Mathematical Physics, Peoples Friendship University of Russia, Ordzhonikidze st., 3, 117198 Moscow, Russian Federation
Ключевые слова
Abstract Cauchy problem; Functional-differential equations; Integro-differential equations; Nonlocal problems; Peano theorem; Quasilinear parabolic equations
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