Time decay estimates for the wave equation with potential in dimension two
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Publication:2451891
DOI10.1016/j.jde.2014.04.020zbMath1297.35035arXiv1307.2219OpenAlexW2067916265MaRDI QIDQ2451891
Publication date: 26 May 2014
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.2219
Asymptotic behavior of solutions to PDEs (35B40) Spectrum, resolvent (47A10) Initial value problems for second-order hyperbolic equations (35L15) Resonance in context of PDEs (35B34)
Related Items (6)
Dispersive Estimates for Four Dimensional Schrödinger and Wave Equations with Obstructions at Zero Energy ⋮ Dispersive estimates for massive Dirac operators in dimension two ⋮ Decay estimates for the wave equation in two dimensions ⋮ The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions ⋮ The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates ⋮ Time decay estimates for wave equations with transmission and boundary conditions
Cites Work
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- Dispersive estimates for the 2D wave equation
- Dispersive estimates for Schrödinger operators in the presence of a resonance and/or an eigenvalue at zero energy in dimension three. I
- High frequency dispersive estimates in dimension two
- Dispersive estimates for Schrödinger operators in dimensions one and three
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- \(L^p-L^q\) estimates for the Klein-Gordon equation
- Asymptotic expansions in time for solutions of Schrödinger-type equations
- Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data
- Invariant manifolds for a class of dispersive, Hamiltonian, partial differential equations
- Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential
- Generalized Strichartz inequalities for the wave equation
- A weighted dispersive estimate for Schrödinger operators in dimension two
- Threshold phenomenon for the quintic wave equation in three dimensions
- Strichartz estimates and maximal operators for the wave equation in \(\mathbb R^3\)
- On the wave equation with a large rough potential
- Dispersive estimates for Schrödinger operators in dimension two
- Dispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy
- LpEstimates for the wave equation with a potential
- Dispersive Estimates of Solutions to the Wave Equation with a Potential in Dimensions n ≥ 4
- OptimalL∞decay for solutions to the wave equation with a potential
- A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS
- Decay Estimates for the Wave Equation with Potential
- On the focusing critical semi-linear wave equation
- Optimal Dispersive Estimates for the Wave Equation with Potentials in Dimensions 4 ≤ n ≤ 7
- Strichartz estimates for the wave and Schroedinger equations with potentials of critical decay
- Center manifold for nonintegrable nonlinear Schrödinger equations on the line
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