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pro vyhledávání: '"Magda Khalile"'
Autor:
Konstantin Pankrashkin, Magda Khalile
Publikováno v:
Mathematische Nachrichten. 291:928-965
For $\alpha\in(0,\pi)$, let $U_\alpha$ denote the infinite planar sector of opening $2\alpha$, \[ U_\alpha=\big\{ (x_1,x_2)\in\mathbb R^2: \big|\arg(x_1+ix_2) \big|0$. The essential spectrum of $T^\gamma_\alpha$ does not depend on the angle $\alpha$
Publikováno v:
Annales de l'Institut Fourier
Annales de l'Institut Fourier, 2021, ⟨10.5802/aif.3400⟩
Annales de l'Institut Fourier, 2021, ⟨10.5802/aif.3400⟩
We study the eigenvalues of the Laplacian with a strong attractive Robin boundary condition in curvilinear polygons. It was known from previous works that the asymptotics of several first eigenvalues is essentially determined by the corner openings,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f60e702e3ebd8e52b29b1f03ad8b4d8
http://arxiv.org/abs/1809.04998
http://arxiv.org/abs/1809.04998
Autor:
Magda Khalile
Let $\Omega$ be a curvilinear polygon and $Q^\gamma_{\Omega}$ be the Laplacian in $L^2(\Omega)$, $Q^\gamma_{\Omega}\psi=-\Delta \psi$, with the Robin boundary condition $\partial_\nu \psi=\gamma \psi$, where $\partial_\nu$ is the outer normal derivat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f75b4bed96ffa7422bca13550f4d95f1