Spectral stability estimates of Dirichlet divergence form elliptic operators

@article{Goldshtein2020SpectralSE,
  title={Spectral stability estimates of Dirichlet divergence form elliptic operators},
  author={Vladimir Gol'dshtein and V. A. Pchelintsev and A. Ukhlov},
  journal={Analysis and Mathematical Physics},
  year={2020},
  volume={10},
  pages={1-25}
}
We study spectral stability estimates of elliptic operators in divergence form $$-\text {div} [A(w) \nabla g(w)]$$ - div [ A ( w ) ∇ g ( w ) ] with the Dirichlet boundary condition in non-Lipschitz domains $${\widetilde{\varOmega }} \subset {\mathbb {C}}$$ Ω ~ ⊂ C . The suggested method is based on the theory of quasiconformal mappings, weighted Sobolev spaces theory and its applications to the Poincaré inequalities. 

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