On the compactness of ISO-spectral potentials

DOI10.1080/03605308408820344zbMath0547.58039OpenAlexW1965739210MaRDI QIDQ3338998

Jochen Brüning

Publication date: 1984

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308408820344

zbMATH Keywords

asymptotic expansionSchrödinger operatorsheat invariantsSobolev norms

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (12)

Heat traces and existence of scattering resonances for bounded potentials ⋮ Compact isospectral sets of surfaces ⋮ On isospectral potentials on a discrete lattice. II ⋮ Compactness of isospectral conformal metrics and isospectral potentials on a 4-manifold ⋮ Resonant rigidity for Schrödinger operators in even dimensions ⋮ On the trace of the wave group and regularity of potentials ⋮ On isospectral periodic potentials on a discrete lattice. I ⋮ Two-sided estimates of polynomial conservation laws for the KdV equation and their applications ⋮ Compactness of isospectral potentials ⋮ 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

• Integrals of nonlinear equations of evolution and solitary waves

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