On the Dirichlet and Neumann problems in multi-dimensional cone

Title:

On the Dirichlet and Neumann problems in multi-dimensional cone

Creator:

Vasilyev, Vladimir

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:40905943-c6c0-406b-a8b9-8f4cddd2b2a1
uuid:40905943-c6c0-406b-a8b9-8f4cddd2b2a1
doi:10.21136/MB.2014.143858

Subject:

wave factorization, pseudodifferential equation, boundary value problem, and integral equation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We consider an elliptic pseudodifferential equation in a multi-dimensional cone, and using the wave factorization concept for an elliptic symbol we describe a general solution of such equation in Sobolev-Slobodetskii spaces. This general solution depends on some arbitrary functions, their quantity being determined by an index of the wave factorization. For identifying these arbitrary functions one needs some additional conditions, for example, boundary conditions. Simple boundary value problems, related to Dirichlet and Neumann boundary conditions, are considered. A certain integral representation for this case is given.

Language:

English

Rights:

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

Coverage:

333-340

Source:

Mathematica bohemica | 2014 Volume:139 | Number:2

Harvested from:

CDK

Metadata only:

false