Asymptotics of wave models for non star-shaped geometries
DOI10.3934/dcdss.2014.7.347zbMath1275.35040OpenAlexW2330070662MaRDI QIDQ371129
Publication date: 27 September 2013
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2014.7.347
scattering2D Schrödinger equation3D critical wave equationalmost star-shapedilluminated from exteriorilluminated from interior
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55)
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Cites Work
- Unnamed Item
- On the Schrödinger equation outside strictly convex obstacles
- Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary
- On the energy critical Schrödinger equation in 3D non-trapping domains
- Strichartz estimates for the wave equation on manifolds with boundary
- On 2D nonlinear Schrödinger equation on non-trapping exterior domains
- Scattering theory in the energy space for a class of nonlinear Schrödinger equations
- Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on \(\mathbb R\)
- Local energy decay for hyperbolic systems in exterior domains
- Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
- Local energy decay for a class of nonstar-shaped bodies
- Short wave radiation problems in inhomogeneous media: Asymptotic solutions
- Decay estimates for the critical semilinear wave equation
- Regularity results for nonlinear wave equations
- Global and unique weak solutions of nonlinear wave equations
- Scattering for solutions of NLS in the exterior of a 2D star-shaped obstacle
- Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
- Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
- Spacetimes bounds for the energy-critical nonlinear wave equation in three spatial dimensions
- ASYMPTOTICS OF THE CRITICAL NONLINEAR WAVE EQUATION FOR A CLASS OF NON-STAR-SHAPED OBSTACLES
- Quintic NLS in the exterior of a strictly convex obstacle
- The decay of solutions of the exterior initial-boundary value problem for the wave equation
- Global existence for energy critical waves in 3-d domains
- Bilinear virial identities and applications
- Tensor products and correlation estimates with applications to nonlinear Schrödinger equations
- Regularity for the wave equation with a critical nonlinearity
- Dispersal of waves vanishing on the boundary of an exterior domain
- Decay for solutions of the exterior problem for the wave equation
- Decay of solutions of the wave equation outside nontrapping obstacles
- High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
- Square function and heat flow estimates on domains
- Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ3
- On the Critical Semilinear Wave Equation Outside Convex Obstacles
- The limiting amplitude principle
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