Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition

Title:

Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition

Creator:

Amrouche, Cherif and Nečasová, Šárka

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:73377028-284d-4c08-994a-212dec522c42
uuid:73377028-284d-4c08-994a-212dec522c42
doi:10.21136/MB.2001.134013

Subject:

the Laplace equation, weighted Sobolev spaces, the half space, existence, uniqueness, and regularity

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We deal with the Laplace equation in the half space. The use of a special family of weigted Sobolev spaces as a framework is at the heart of our approach. A complete class of existence, uniqueness and regularity results is obtained for inhomogeneous Dirichlet problem.

Language:

English

Rights:

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

Coverage:

265-274

Source:

Mathematica bohemica | 2001 Volume:126 | Number:2

Harvested from:

CDK

Metadata only:

false