Eigenvalues of Elliptic Systems for the Mixed Problem in Perturbations of Lipschitz Domains with Nonhomogeneous Neumann Boundary Conditions
Year: 2020
Author: Kohei Miyazaki, Justin L. Taylor
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 1 : pp. 48–63
Abstract
We study eigenvalues of an elliptic operator with mixed boundary conditions on very general decompositions of the boundary. We impose nonhomogeneous conditions on the part of the boundary where the Neumann term lies in a certain Sobolev or $L^p$ space. Our work compares the behavior of and gives a relationship between the eigenvalues and eigenfunctions on the unperturbed and perturbed domains, respectively.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v33.n1.4
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 1 : pp. 48–63
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Eigenvalues elliptic systems mixed problem perturbed domains.