Maximal regularity for abstract parabolic problems with inhomogeneous boundary data in Lp-spaces

Title:

Maximal regularity for abstract parabolic problems with inhomogeneous boundary data in Lp-spaces

Creator:

Prüss, Jan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:70a9b9db-f297-4530-b023-7a0665a27a23
uuid:70a9b9db-f297-4530-b023-7a0665a27a23
doi:10.21136/MB.2002.134160

Subject:

maximal regularity, sectorial operators, interpolation, trace theorems, elliptic and parabolic initial-boundary value problems, and dynamic boundary conditions

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Several abstract model problems of elliptic and parabolic type with inhomogeneous initial and boundary data are discussed. By means of a variant of the Dore-Venni theorem, real and complex interpolation, and trace theorems, optimal Lp-regularity is shown. By means of this purely operator theoretic approach, classical results on Lp-regularity of the diffusion equation with inhomogeneous Dirichlet or Neumann or Robin condition are recovered. An application to a dynamic boundary value problem with surface diffusion for the diffusion equation is included.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

311-327

Source:

Mathematica bohemica | 2002 Volume:127 | Number:2

Harvested from:

CDK

Metadata only:

false