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Error bound for a generalized M. A. Lavrentiev's formula via the norm in a fractional Sobolev space

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Publication:891005
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DOI10.17377/SEMI.2013.10.026zbMath1330.35070MaRDI QIDQ891005

Anton Igor'evich Parfënov

Publication date: 16 November 2015

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)


zbMATH Keywords

harmonic functionremainder estimateperturbed domainLavrentiev formulaquantitative stability


Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)


Related Items (4)

Discrete Hölder estimates for a parametrix variation ⋮ Series in a Lipschitz perturbation of the boundary for solving the Dirichlet problem ⋮ Criterion for the Sobolev well-posedness of the Dirichlet problem for the Poisson equation in Lipschitz domains. I ⋮ Criterion for the vanishing of the oscillation of the real part of a conformal mapping of strips







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