Helmholtz and Dispersive Equations with Variable Coefficients on Exterior Domains
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Publication:2806198
DOI10.1137/15M103769XzbMath1338.35143arXiv1403.5288OpenAlexW1549453294MaRDI QIDQ2806198
Piero D'Ancona, Renato Lucà, Federico Cacciafesta
Publication date: 17 May 2016
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.5288
Initial-boundary value problems for second-order hyperbolic equations (35L20) Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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Cites Work
- Weighted \(L^p\) estimates for powers of selfadjoint operators
- On the Morawetz--Keel-Smith-Sogge inequality for the wave equation on a curved background
- Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations
- Smoothing estimates for the Schrödinger equation with unbounded potentials
- Non-trapping magnetic fields and Morrey-Campanato estimates for Schrödinger operators
- Global estimates for the Schrödinger equation
- Morrey-Campanato estimates for Helmholtz equations
- High energy decay estimates for waves in a locally perturbed medium
- Decay and regularity for the Schrödinger equation
- Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line
- Semiclassical estimates in asymptotically Euclidean scattering
- Smoothing effects for Schrödinger evolution equation and global behavior of geodesic flow
- Uniform estimates of the resolvent of the Laplace-Beltrami operator on infinite volume Riemannian manifolds. II
- On nonlinear Schrödinger equations in exterior domains
- Dispersive smoothing for Schrödinger equations
- High frequency resolvent estimates for perturbations by large long-range magnetic potentials and applications to dispersive estimates
- Endpoint estimates and global existence for the nonlinear Dirac equation with potential
- Kato smoothing and Strichartz estimates for wave equations with magnetic potentials
- Evolution equations on non-flat waveguides
- Morawetz estimates for the wave equation at low frequency
- Wave operators and unitary equivalence
- On global Strichartz estimates for non-trapping metrics
- Energy concentration and Sommerfeld condition for Helmholtz equation with variable index at infinity
- Some dispersive estimates for Schrödinger equations with repulsive potentials
- Global existence for Dirichlet-wave equations with quadratic nonlinearities in high dimensions
- Effective limiting absorption principles, and applications
- Wave operators and similarity for some non-selfadjoint operators
- Essential self-adjointness of powers of generators of hyperbolic equations
- A priori estimates for the Helmholtz equation with electromagnetic potentials in exterior domains
- An Estimate on the Heat Kernel of Magnetic Schrödinger Operators and Uniformly Elliptic Operators with Non-Negative Potentials
- Decay estimates for the wave and Dirac equations with a magnetic potential
- Strichartz and Smoothing Estimates for Dispersive Equations with Magnetic Potentials
- Decay Estimates for Variable Coefficient Wave Equations in Exterior Domains
- Weak Dispersive Estimates for Schrödinger Equations with Long Range Potentials
- The Kato Smoothing Effect for Schrodinger Equations with Unbounded Potentials in Exterior Domains
- Decay for solutions of the exterior problem for the wave equation
- Global Strichartz Estimates for Nontrapping Geometries: About an Article by H. Smith and C. Sogge
- Global strichartz estimates for nonthapping perturbations of the laplacian
- SOME EXAMPLES OF SMOOTH OPERATORS AND THE ASSOCIATED SMOOTHING EFFECT
- Microlocal dispersive smoothing for the Schrödinger equation
- Local decay of waves on asymptotically flat stationary space-times
- Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions
- Time decay for the nonlinear Klein-Gordon equation
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