Eigenvalue asymptotic of Robin Laplace operators on two-dimensional domains with cusps
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Publication:3074542
DOI10.1112/JLMS/JDQ073zbMATH Open1217.35129arXiv1006.5583OpenAlexW3104645885MaRDI QIDQ3074542
Publication date: 9 February 2011
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Abstract: We consider Robin Laplace operators on a class of two-dimensional domains with cusps. Our main results include the formula for the asymptotic distribution of the eigenvalues of such operators. In particular, we show how the eigenvalue asymptotic depends on the geometry of the cusp and on the boundary conditions.
Full work available at URL: https://arxiv.org/abs/1006.5583
Asymptotic distributions of eigenvalues in context of PDEs (35P20) Variational methods for second-order elliptic equations (35J20)
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