Maximal and minimal norm of Laplacian eigenfunctions in a given subdomain

DOI10.1088/0266-5611/32/11/115003zbMath1416.65422OpenAlexW2523153902MaRDI QIDQ2835434

Pedro R. S. Antunes

Publication date: 2 December 2016

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/32/11/115003

zbMATH Keywords

eigenvalueslocalization of eigenfunctionsDirichlet-Laplacian

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

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Parametric shape optimization using the support function ⋮ Minimization of the Eigenvalues of the Dirichlet-Laplacian with a Diameter Constraint ⋮ Numerical shape optimization among convex sets

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