Matches in SemOpenAlex for { <https://semopenalex.org/work/W2765160987> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2765160987 abstract "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 derivative and $gamma>0$. We are interested in the behavior of the eigenvalues of $Q^gamma_Omega$ as $gamma$ becomes large. We prove that the asymptotics of the first eigenvalues of $Q^gamma_Omega$ is determined at the leading order by those of model operators associated with the vertices: the Robin Laplacians acting on the tangent sectors associated with $partial Omega$. In the particular case of a polygon with straight edges the first eigenpairs are exponentially close to those of the model operators. Finally, we prove a Weyl asymptotics for the eigenvalue counting function of $Q^gamma_Omega$ for a threshold depending on $gamma$, and show that the leading term is the same as for smooth domains." @default.
- W2765160987 created "2017-11-10" @default.
- W2765160987 creator A5002504753 @default.
- W2765160987 date "2017-10-26" @default.
- W2765160987 modified "2023-09-27" @default.
- W2765160987 title "Spectral asymptotics for Robin Laplacians on polygonal domains" @default.
- W2765160987 cites W1512461968 @default.
- W2765160987 cites W1586623601 @default.
- W2765160987 cites W1977682890 @default.
- W2765160987 cites W2006810711 @default.
- W2765160987 cites W2048472068 @default.
- W2765160987 cites W2130317282 @default.
- W2765160987 cites W2225833495 @default.
- W2765160987 cites W2253638727 @default.
- W2765160987 cites W2963225894 @default.
- W2765160987 cites W2963749139 @default.
- W2765160987 cites W2964131965 @default.
- W2765160987 cites W3098586520 @default.
- W2765160987 cites W3101813935 @default.
- W2765160987 cites W3106309468 @default.
- W2765160987 cites W591292934 @default.
- W2765160987 hasPublicationYear "2017" @default.
- W2765160987 type Work @default.
- W2765160987 sameAs 2765160987 @default.
- W2765160987 citedByCount "0" @default.
- W2765160987 crossrefType "posted-content" @default.
- W2765160987 hasAuthorship W2765160987A5002504753 @default.
- W2765160987 hasConcept C114614502 @default.
- W2765160987 hasConcept C121332964 @default.
- W2765160987 hasConcept C126042441 @default.
- W2765160987 hasConcept C134306372 @default.
- W2765160987 hasConcept C158693339 @default.
- W2765160987 hasConcept C165700671 @default.
- W2765160987 hasConcept C190694206 @default.
- W2765160987 hasConcept C202444582 @default.
- W2765160987 hasConcept C2779557605 @default.
- W2765160987 hasConcept C33923547 @default.
- W2765160987 hasConcept C37914503 @default.
- W2765160987 hasConcept C41008148 @default.
- W2765160987 hasConcept C62354387 @default.
- W2765160987 hasConcept C62520636 @default.
- W2765160987 hasConcept C76155785 @default.
- W2765160987 hasConceptScore W2765160987C114614502 @default.
- W2765160987 hasConceptScore W2765160987C121332964 @default.
- W2765160987 hasConceptScore W2765160987C126042441 @default.
- W2765160987 hasConceptScore W2765160987C134306372 @default.
- W2765160987 hasConceptScore W2765160987C158693339 @default.
- W2765160987 hasConceptScore W2765160987C165700671 @default.
- W2765160987 hasConceptScore W2765160987C190694206 @default.
- W2765160987 hasConceptScore W2765160987C202444582 @default.
- W2765160987 hasConceptScore W2765160987C2779557605 @default.
- W2765160987 hasConceptScore W2765160987C33923547 @default.
- W2765160987 hasConceptScore W2765160987C37914503 @default.
- W2765160987 hasConceptScore W2765160987C41008148 @default.
- W2765160987 hasConceptScore W2765160987C62354387 @default.
- W2765160987 hasConceptScore W2765160987C62520636 @default.
- W2765160987 hasConceptScore W2765160987C76155785 @default.
- W2765160987 hasLocation W27651609871 @default.
- W2765160987 hasOpenAccess W2765160987 @default.
- W2765160987 hasPrimaryLocation W27651609871 @default.
- W2765160987 hasRelatedWork W1570726439 @default.
- W2765160987 hasRelatedWork W1986252875 @default.
- W2765160987 hasRelatedWork W1993904723 @default.
- W2765160987 hasRelatedWork W1994926960 @default.
- W2765160987 hasRelatedWork W2023569767 @default.
- W2765160987 hasRelatedWork W2237067724 @default.
- W2765160987 hasRelatedWork W2266078656 @default.
- W2765160987 hasRelatedWork W2521255489 @default.
- W2765160987 hasRelatedWork W2949273309 @default.
- W2765160987 hasRelatedWork W2958722128 @default.
- W2765160987 hasRelatedWork W2963787492 @default.
- W2765160987 hasRelatedWork W3012309459 @default.
- W2765160987 hasRelatedWork W3049709902 @default.
- W2765160987 hasRelatedWork W3099574771 @default.
- W2765160987 hasRelatedWork W3100821729 @default.
- W2765160987 hasRelatedWork W3103030910 @default.
- W2765160987 hasRelatedWork W3131228592 @default.
- W2765160987 hasRelatedWork W3132303869 @default.
- W2765160987 hasRelatedWork W3171742649 @default.
- W2765160987 hasRelatedWork W2907491282 @default.
- W2765160987 isParatext "false" @default.
- W2765160987 isRetracted "false" @default.
- W2765160987 magId "2765160987" @default.
- W2765160987 workType "article" @default.