Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond
From MaRDI portal
Publication:2493969
DOI10.1016/j.cam.2005.06.019zbMath1121.58027arXivmath/0409154OpenAlexW2088915501MaRDI QIDQ2493969
Dmitry Jakobson, Michael Levitin, Iosif Polterovich, Nikolai S. Nadirashvili
Publication date: 16 June 2006
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0409154
Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Boundary value problems on manifolds (58J32) Isospectrality (58J53)
Related Items
Isospectral discrete and quantum graphs with the same flip counts and nodal counts, Linear representations and isospectrality with boundary conditions, Müntz--Galerkin Methods and Applications to Mixed Dirichlet--Neumann Boundary Value Problems, A quantum waveguide with Aharonov–Bohm magnetic field, Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions, Introduction to some conjectures for spectral minimal partitions, Ultrasonic beam steering using Neumann boundary condition in multiplysics, Spectral decomposition of square-tiled surfaces, Numerical Analysis of Nodal Sets for Eigenvalues of Aharonov–Bohm Hamiltonians on the Square with Application to Minimal Partitions, Numerical simulations for nodal domains and spectral minimal partitions, On spectral minimal partitions: a survey, Nonlocal Multipoint Problem for Differential-Operator Equations of Order 2n, A posteriori error estimates for elliptic eigenvalue problems using auxiliary subspace techniques, Isospectrality and heat content
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Isospectral Riemann surfaces
- Riemannian coverings and isospectral manifolds
- Berger's isoperimetric problem and minimal immersions of surfaces
- Some inequalities between Dirichlet and Neumann eigenvalues
- Isospectral plane domains and surfaces via Riemannian orbifolds
- Heat kernel asymptotics with mixed boundary conditions
- Transplantation and isospectrality. I
- Heat kernel asymptotics of the Zaremba boundary value problem
- Weyl asymptotic formula for the Laplacian on domains with rough boundaries
- Arithmetic variety of moduli for genus two
- Constructing Isospectral Manifolds
- Windows of given area with minimal heat diffusion
- The hybrid spectral problem and Robin boundary conditions
- Trace Expansions for the Zaremba Problem
- Some planar isospectral domains
- Can One Hear the Shape of a Drum?
- Spectral determination of analytic bi-axisymmetric plane domains
