Open AccessBoundary value problems and integral operators for the bi-Laplacian in non-smooth domains
Author(s) -
Irina Mitrea,
Marius Mitrea
Publication year - 2013
Publication title -
rendiconti lincei matematica e applicazioni
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.824
H-Index - 28
eISSN - 1720-0768
pISSN - 1120-6330
DOI - 10.4171/rlm/657
Subject(s) - mathematics , mathematical analysis , laplace operator , value (mathematics) , boundary value problem , pure mathematics , algebra over a field , statistics
— In this paper we explore the e¤ectiveness of the classical method of layer potentials in the treatment of boundary value problems for the bi-Laplacian formulated in arbitrary Lipschitz domains, Lipschitz domains whose outward unit normal has small mean-oscillations, and domains of class C.
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