Locating the first nodal set in higher dimensions

DOI10.1090/S0002-9947-09-04729-1zbMath1175.35090OpenAlexW1996112638MaRDI QIDQ3182531

Inwon Christina Kim, Sunhi Choi, David S. Jerison

Publication date: 9 October 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-09-04729-1

zbMATH Keywords

eigenfunctionsNeumann problemconvex domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Methods of ordinary differential equations applied to PDEs (35A24)

Cites Work

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• Locating the first nodal linein the Neumann problem