On the heat trace of schrödinger operators
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Publication:4863725
DOI10.1080/03605309508821166zbMath0843.35016OpenAlexW1971756239MaRDI QIDQ4863725
Antônio Sá Barreto, Rodrigo Bañuelos
Publication date: 24 January 1996
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605309508821166
General topics in linear spectral theory for PDEs (35P05) Asymptotic expansions of solutions to PDEs (35C20) Schrödinger operator, Schrödinger equation (35J10)
Related Items (12)
New trace formulas in terms of resonances for three-dimensional Schrödinger operators ⋮ 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 ⋮ Lower bounds for the number of resonances in even dimensional potential scattering ⋮ Heat content for stable processes in domains of \(\mathbb {R}^d\) ⋮ Compactness of isospectral potentials ⋮ A decomposition for additive functionals of Lévy processes ⋮ Heat content and small time asymptotics for Schrödinger operators on \(\mathbb R^d\) ⋮ Compactness of iso-resonant potentials for Schrödinger operators in dimensions one and three ⋮ Existence of Resonances in Even Dimensional Potential Scattering
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- Scattering frequencies for the wave equation with a potential term
- The spectrum of Hill's equation
- Existence of resonances in three dimensions
- Schrödinger semigroups
- On the trace of the difference of Schrödinger heat semigroups
- Trace formulae and inverse spectral theory for Schrödinger operators
- Decaying modes for the wave equation in the exterior of an obstacle
- The Asymptotics of The Laplacian on a Manifold with Boundary
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