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- Title
On the convergence conditions for the method with boundary condition splitting in Sobolev spaces of high smoothness and the compatibility conditions for the nonstationary stokes problem.
- Authors
Pal'tsev, B. V.
- Abstract
The article describes the convergence of the iterative method with boundary condition which splits Sobolev spaces of high smoothness and the compatibility conditions for the nonstationary stokes problem. It focuses on the substantiation of the convergence of the iterative method with boundary condition to solve the Dirichlet initial in anisotropic Sobolev spaces of arbitrarily high smoothness. It notes that the substantiation is required in studying the compatibility conditions for the initial boundary data.
- Subjects
STOCHASTIC convergence; SOBOLEV spaces; SMOOTHNESS of functions; BOUNDARY value problems; STOKES equations; DIRICHLET problem; ITERATIVE methods (Mathematics); INITIAL value problems; SPACES of measures
- Publication
Doklady Mathematics, 2010, Vol 82, Issue 3, p931
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562410060244