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arXiv · 2001.06402

Spectral Stability Estimates of Neumann Divergence Form Elliptic Operators

Vladimir Gol'dshtein·Valerii Pchelintsev·Alexander Ukhlov
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Abstract

We study spectral stability estimates of elliptic operators in divergence form $-\textrm{div} [A(w) \nabla g(w)]$ with the Neumann boundary condition in non-Lipschitz domains $\Omega \subset \mathbb C$. The suggested method is based on connections of planar quasiconformal mappings with Sobolev spaces and its applications to the Poincar\'e inequalities.

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Vladimir Gol'dshtein, Valerii Pchelintsev, Alexander Ukhlov. 2020-01-14. Spectral Stability Estimates of Neumann Divergence Form Elliptic Operators. https://arxiv.org/abs/2001.06402

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