Does diffusion determine the body?
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Publication:4539581
DOI10.1515/crll.2002.076zbMath1099.35164OpenAlexW2085656867MaRDI QIDQ4539581
Publication date: 9 July 2002
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/crll.2002.076
General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) General theory of partial differential operators (47F05) Isospectrality (58J53)
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An inverse eigenvalue problem of the wave equation for a multi-connected region in \(\mathbb{R}^{2}\) together with three different types of boundary conditions ⋮ Regularity in capacity and the Dirichlet Laplacian ⋮ A monotone convergence theorem for strong Feller semigroups ⋮ Uniqueness of the approximative trace ⋮ On order isomorphisms intertwining semigroups for Dirichlet forms ⋮ A geometric construction of isospectral magnetic graphs ⋮ Diffusion determines the recurrent graph ⋮ Isometries between Sobolev spaces ⋮ Intertwining, excursion theory and Krein theory of strings for non-self-adjoint Markov semigroups ⋮ Disjointness-preserving operators and isospectral Laplacians ⋮ The 3D inverse problem of the wave equation for a general multi-connected vibrating membrane with a finite number of piecewise smooth boundary conditions.
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