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- Title
SPECTRAL STABILITY ESTIMATES OF NEUMANN DIVERGENCE FORM ELLIPTIC OPERATORS.
- Authors
GOL’DSHTEIN, VLADIMIR; PCHELINTSEV, VALERII; UKHLOV, ALEXANDER
- Abstract
We study spectral stability estimates of elliptic operators in divergence form −div[A(w)∇g(w)] with the Neumann boundary condition in domains Ω ⊂ C which satisfy the quasihyperbolic boundary condition. This class of domains includes Lipschitz domains, Hölder singular domains and some fractal type domains like snowflakes. The suggested method is based on connections of quasiconformal mappings and Sobolev spaces with applications to the Poincaré type inequalities.
- Subjects
ELLIPTIC operators; DIVERGENCE theorem; NEUMANN boundary conditions; LIPSCHITZ spaces; SOBOLEV spaces
- Publication
Mathematical Reports, 2021, Vol 23, Issue 1/2, p131
- ISSN
1582-3067
- Publication type
Article