Energy distribution of radial solutions to energy subcritical wave equation with an application on scattering theory
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Publication:3388485
DOI10.1090/tran/8104zbMath1468.35096arXiv1808.08656OpenAlexW3138362791MaRDI QIDQ3388485
Publication date: 5 May 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.08656
Scattering theory for PDEs (35P25) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)
Related Items
Long time behaviour of finite-energy radial solutions to energy subcritical wave equation in higher dimensions ⋮ Scattering theory for the subcritical wave equation with inverse square potential ⋮ Energy distribution of solutions to defocusing semi-linear wave equation in two dimensional space
Cites Work
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- Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Channels of energy for the linear radial wave equation
- Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
- Morrey-Campanato estimates for Helmholtz equations
- Conformal conservation law, time decay and scattering for nonlinear wave equations
- On existence and scattering with minimal regularity for semilinear wave equations
- Generalized Strichartz inequalities for the wave equation
- Profiles of bounded radial solutions of the focusing, energy-critical wave equation
- Scattering for the radial 3D cubic wave equation
- Soliton resolution along a sequence of times for the focusing energy critical wave equation
- Universality of blow-up profile for small radial type II blow-up solutions of the energy-critical wave equation
- Classification of the radial solutions of the focusing, energy-critical wave equation
- Relaxation of wave maps exterior to a ball to harmonic maps for all data
- On the energy subcritical, nonlinear wave equation in \(\mathbb{R}^3\) with radial data
- Scattering for defocusing energy subcritical nonlinear wave equations
- Scattering for Radial, Bounded Solutions of Focusing Supercritical Wave Equations
- The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions
- Nondispersive radial solutions to energy supercritical non-linear wave equations, with applications
- Regularity for the wave equation with a critical nonlinearity
- Weak and Yet Weaker Solutions of Semilinear Wave Equations
- Scattering of solutions to the defocusing energy subcritical semi-linear wave equation in 3D
- Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data
- The defocusing energy-supercritical nonlinear wave equation in three space dimensions