Locating the first nodal linein the Neumann problem

DOI10.1090/S0002-9947-00-02546-0zbMath0958.35028OpenAlexW1576699416MaRDI QIDQ4942882

David S. Jerison

Publication date: 15 March 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02546-0

zbMATH Keywords

eigenvalueestimatesNeumann problemconvex planar domain

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• An optimal Poincaré inequality for convex domains
• On the ``hot spots conjecture of J. Rauch
• The diameter of the first nodal line of a convex domain
• Spectral gaps and rates to equilibrium for diffusions in convex domains
• Asymptotics of the first nodal line of a convex domain
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