Solvability of initial-boundary value problems for non-autonomous evolution equations and applications - Conference attendances

Solvability of initial-boundary value problems for non-autonomous evolution equations and applications Conference attendances

Language

Английский

Participant type

Пленарный

Conference

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

Authors

Pyatkov S.G. ^1,2

Affiliations

1	Sobolev Institute of Mathematics
2	Yugra State University

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