About the wave equation outside two strictly convex obstacles
From MaRDI portal
Publication:5077172
DOI10.1080/03605302.2021.2008964zbMath1489.35165arXiv1711.09734OpenAlexW2768474977MaRDI QIDQ5077172
Publication date: 18 May 2022
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.09734
Initial-boundary value problems for second-order hyperbolic equations (35L20) Scattering theory for PDEs (35P25) Wave equation (35L05) A priori estimates in context of PDEs (35B45)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Smoothing effect for Schrödinger boundary value problems
- Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics
- Counterexamples to the Strichartz inequalities for the wave equation in general domains with boundary
- Strichartz estimates for the wave equation on manifolds with boundary
- Scattering theory in the energy space for a class of nonlinear Schrödinger equations
- Decay of solutions of the wave equation in the exterior of several convex bodies
- Decay of solutions of the wave equation in the exterior of two convex obstacles
- Local energy decay for a class of nonstar-shaped bodies
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- A parametrix construction for wave equations with \(C^{1,1}\) coefficients
- Decay estimates for the critical semilinear wave 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
- On existence and scattering with minimal regularity for semilinear wave equations
- Dispersion for the wave equation inside strictly convex domains. I: The Friedlander model case
- On the \(L^p\) norm of spectral clusters for compact manifolds with boundary
- Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III
- ASYMPTOTICS OF THE CRITICAL NONLINEAR WAVE EQUATION FOR A CLASS OF NON-STAR-SHAPED OBSTACLES
- The decay of solutions of the exterior initial-boundary value problem for the wave equation
- Singularities of boundary value problems. II
- Global existence for energy critical waves in 3-d domains
- Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
- Singularities of boundary value problems. I
- Endpoint Strichartz estimates
- Global Strichartz Estimates for Nontrapping Geometries: About an Article by H. Smith and C. Sogge
- Global strichartz estimates for nonthapping perturbations of the laplacian
- Global Strichartz estimates for solutions to the wave equation exterior to a convex obstacle
- On the Critical Semilinear Wave Equation Outside Convex Obstacles