Spectral stability estimates of Dirichlet divergence form elliptic operators

Vladimir Gol’dshtein, Valerii Pchelintsev, Alexander Ukhlov

Research output: Contribution to journalArticlepeer-review

Abstract

We study spectral stability estimates of elliptic operators in divergence form - div [A(w) ∇ g(w)] with the Dirichlet boundary condition in non-Lipschitz domains Ω~ ⊂ C. The suggested method is based on the theory of quasiconformal mappings, weighted Sobolev spaces theory and its applications to the Poincaré inequalities.

Original languageEnglish
Article number74
JournalAnalysis and Mathematical Physics
Volume10
Issue number4
DOIs
Publication statusPublished - 1 Dec 2020

Keywords

  • Elliptic equations
  • Quasiconformal mappings
  • Sobolev spaces

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Mathematical Physics

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