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On initial boundary value problem for parabolic differential operator with non-coercive boundary conditions

Описание

Тип публикации: статья из журнала

Год издания: 2020

Идентификатор DOI: 10.17516/1997-1397-2020-13-5-547-558

Ключевые слова: faedo-galerkin method, non-coercive problem, parabolic problem

Аннотация: We consider initial boundary value problem for uniformly 2-parabolic differential operator of second order in cylinder domain in Rn with non-coercive boundary conditions. In this case there is a loss of smoothness of the solution in Sobolev type spaces compared with the coercive situation. Using by Faedo-Galerkin method we prove thПоказать полностьюat problem has unique solution in special Bochner space. © Siberian Federal University. All rights reserved.

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Издание

Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 13, Is. 5

Номера страниц: 547-558

ISSN журнала: 19971397

Персоны

  • Polkovnikov Alexander N. (Siberian Fed Univ, Krasnoyarsk, Russia)

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