Isospectral domains with mixed boundary conditions
Michael Levitin, Leonid Parnovski, Iosif Polterovich
Abstract
We construct a series of examples of planar isospectral domains with mixed Dirichlet-Neumann boundary conditions. This is a modification of a classical problem proposed by M. Kac.
Create a lesson
Related papers
Essential spectral geometry of the Maxwell system in unbounded domains
Francesco Ferraresso, Marco Marletta
Solving Inverse Dirac-weighted Sturm-Liouville Problems via Cauchy problems
Min Zhao, Jiangang Qi, and Xiao Chen
Uniform High-Frequency Localization on Quantum Graphs
Binh T. Nguyen
Irreducibility of the Bloch variety for periodic Schrödinger operators in arbitrary dimension
Wencai Liu
Weighted heat traces of the Dirichlet Laplacian on Lipschitz domains
Lucas Kersten
An inverse problem on eigenfunction triple products
Carl Schildkraut, Romain Speciel