Disjointness-preserving operators and isospectral Laplacians
DOI10.4171/JST/379zbMath1484.35292arXiv2002.09207OpenAlexW3204209515MaRDI QIDQ2078938
James Bernard Kennedy, Wolfgang Arendt
Publication date: 4 March 2022
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.09207
intertwining operatorDirichlet boundary conditionsNeumann boundary conditionsisospectral domainsdisjointness-preserving operator
Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Positive linear operators and order-bounded operators (47B65) Isospectrality (58J53)
Cites Work
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- The 2-transitive transplantable isospectral drums
- Diffusion determines the recurrent graph
- Regularity of solutions of linear second order elliptic and parabolic boundary value problems on Lipschitz domains
- An alternative approach to the Faber-Krahn inequality for Robin problems
- Local operators and forms
- The Robin and Wentzell-Robin Laplacians on Lipschitz domains
- Inverse positivity for general Robin problems on Lipschitz domains
- Second term of the spectral asymptotic expansion of the Laplace-Beltrami operator on manifolds with boundary
- Examples of orthomorphisms
- Domain perturbations, Brownian motion, capacities, and ground states of Dirichlet Schrödinger operators
- Band decomposition for disjointness preserving operators
- Transplantation and isospectrality. I
- \(C^\infty\) spectral rigidity of the ellipse
- Steklov and Robin isospectral manifolds
- Inverse spectral problem for analytic domains. II: \(\mathbb Z_2\)-symmetric domains
- Unbounded disjointness preserving linear functionals and operators
- Equivalence between isospectrality and isolength spectrality for a certain class of planar billiard domains
- One can hear the corners of a drum
- The Sound of Symmetry
- Diffusion determines the manifold
- Shape optimization and spectral theory
- Hearing the Shape of a Triangle
- Transplantation Et Isospectralité II
- A priori estimates for a class of quasi-linear elliptic equations
- One cannot hear the shape of a drum
- Does diffusion determine the body?
- Some planar isospectral domains
- Drums That Sound the Same
- Surgery principles for the spectral analysis of quantum graphs
- Inverse problems in spectral geometry
- Analytical aspects of isospectral drums
- Can One Hear the Shape of a Drum?
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