Compactness of isospectral potentials

DOI10.1090/S0002-9947-04-03813-9zbMath1062.58033OpenAlexW1516681173MaRDI QIDQ4654079

Harold Donnelly

Publication date: 1 March 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03813-9

zbMATH Keywords

Schrödinger operatorSobolev normLaplacianisospectralheat asymptotics

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (8)

Heat traces and existence of scattering resonances for bounded potentials ⋮ Resonant rigidity for Schrödinger operators in even dimensions ⋮ On the trace of the wave group and regularity of potentials ⋮ Trace asymptotics for fractional Schrödinger operators ⋮ Heat content and small time asymptotics for Schrödinger operators on \(\mathbb R^d\) ⋮ On the relative heat invariants of the Dirichlet-to-Neumann operators associated with Schrödinger operators ⋮ Compactness of iso-resonant potentials for Schrödinger operators in dimensions one and three ⋮ On the trace of Schrödinger heat kernels and regularity of potentials

Cites Work

• Unnamed Item
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• On the compactness of ISO-spectral potentials
• Une formule de traces pour l'opérateur de Schrödinger dans $\mathbb{R}^3$
• On the heat trace of schrödinger operators

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