Semiclassical analysis of general second order elliptic operators on bounded domains
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Publication:4485711
DOI10.1090/S0002-9947-00-02534-4zbMath0965.35105OpenAlexW1480090730MaRDI QIDQ4485711
Julián López-Gómez, E. Norman Dancer
Publication date: 18 June 2000
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02534-4
Singular perturbations in context of PDEs (35B25) Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10)
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Cites Work
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- On the linear damped wave equation
- Irreducible compact operators
- Semiclassical analysis of low lying eigenvalues. IV. The flea on the elephant
- Semi-classical analysis for the Schrödinger operator and applications
- A priori bounds and multiple solutions for superlinear indefinite elliptic problems
- Exponential stability of a diffusion equation with absorption
- On the structure of the permanence region for competing species models with general diffusivities and transport effects
- Perturbation theory for linear operators.
- Asymptotic stability of Schrödinger semigroups: Path integral methods
- Introduction to spectral theory. With applications to Schrödinger operators
- Some remarks on classical problems and fine properties of Sobolev spaces
- The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
- Multiple wells in the semi-classical limit I
- Multiple Wells in the Semi-Classical Limit III - Interaction Through Non-Resonant Wells
- Effet tunnel entre puits degeneres
- A priori bounds for positive solutions of nonlinear elliptic equations
- On some linear and nonlinear eigenvalue problems with an indefinite weight function
- Some notes on the method of moving planes
- Continuous dependence of eigenvalues on the domain