On the Neumann problem for the nonstationary Stokes system in angles and cones

Author:

Kozlov Vladimir1,Rossmann Jürgen2

Affiliation:

1. Institute of Mathematics University of Linköping Sweden

2. Institute of Mathematics University of Rostock Rostock Germany

Abstract

AbstractThe authors consider the Neumann problem for the nonstationary Stokes system in a two‐dimensional angle or a three‐dimensional cone. They obtain existence and uniqueness results for solutions in weighted Sobolev spaces and prove a regularity assertion for the solutions.

Publisher

Wiley

Subject

General Mathematics

Reference25 articles.

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2. Singular behavior of the solution of the Cauchy-Dirichlet heat equation in weighted $L^p$-Sobolev spaces

3. Boundary value problems for elliptic equations in domains with conical or angular points;Kondrat'ev V. A.;Trudy Moskov. Mat. Obshch.,1967

4. Coefficients in the asymptotic solutions of the cauchy boundary-value parabolic problems in domains with a conical point

5. Asymptotics of the Green function and Poisson kernels of a mixed parabolic problem in a cone. I.

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