Solvability of initial-boundary value problems for non-autonomous evolution equations and applications - Доклады на конференциях | Sciact - Система учета научной деятельности ИМ СО РАН

Solvability of initial-boundary value problems for non-autonomous evolution equations and applications Доклады на конференциях

Язык

Английский

Тип доклада

Пленарный

Конференция

OPERATORS, FUNCTIONS, AND SYSTEMS OF MATHEMATICAL PHYSICS CONFERENCE International conference dedicated to Hamlet Isaxanli’s 70th anniversary
21-24 мая 2018 , Baku, Khazar University

Авторы

Pyatkov S.G. ^1,2

Организации

1	Институт математики им. С.Л. Соболева СО РАН
2	Югорский государственный университет

The initial-boundary value problems for linear non-autonomous evolution equations are examined. Our assumptions provide a unified treatment which is applicable to many situations, where the domains of the operators may change with t. We study existence, uniqueness and maximal regularity of solutions in Sobolevspaces. In contrast to the previous results we use only the continuity assumption on the operators in the main part of the equation

Pyatkov S.G.
Solvability of initial-boundary value problems for non-autonomous evolution equations and applications
OPERATORS, FUNCTIONS, AND SYSTEMS OF MATHEMATICAL PHYSICS CONFERENCE International conference dedicated to Hamlet Isaxanli’s 70th anniversary 21-24 May 2018