Achache Mahdi, Tebbani Hossni
We consider the regularity for the non-autonomous Cauchy problem
The time dependent operator A(t) is associated with (time dependent) sesquilinear forms on a Hilbert space . We prove the maximal regularity result in temporally weighted L^2-spaces and other regularity properties for the solution of the problem under minimal regularity assumptions on the forms and the initial value u_0. Our results are motivated by boundary value problems.
Submitted October 9, 2019. Published December 20, 2020.
Math Subject Classifications: 35A23.
Key Words: Maximal regularity; non-autonomous evolution equation; weighted space.
Show me the PDF file (415 KB), TEX file for this article.
| Achache Mahdi |
Department of Mathematics, Univ. Bordeaux
Institut de Mathématiques (IMB). CNRS UMR 5251. 351
Cours de la Libération 33405 Talence, France
| Tebbani Hossni |
Department of Mathematics
Univ. Séetif -1-, Algeria
Return to the EJDE web page