Global well-posedness and scattering for the radial, defocusing, cubic wave equation with almost sharp initial data
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Publication:4628879
DOI10.1080/03605302.2018.1517787zbMath1421.35219arXiv1604.04255OpenAlexW2963258019MaRDI QIDQ4628879
Publication date: 25 March 2019
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.04255
Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)
Related Items (8)
Recovery of a cubic non-linearity in the wave equation in the weakly non-linear regime ⋮ Scattering for defocusing energy subcritical nonlinear wave equations ⋮ The defocusing energy-supercritical NLS in higher dimensions ⋮ Bounded solutions to an energy subcritical non-linear wave equation on \(\mathbb{R}^3\) ⋮ Numerical simulations for the energy-supercritical nonlinear wave equation ⋮ Inward/outward energy theory of non-radial solutions to 3D semi-linear wave equation ⋮ Energy distribution of radial solutions to energy subcritical wave equation with an application on scattering theory ⋮ Scattering for the radial defocusing cubic nonlinear wave equation with initial data in the critical Sobolev space
Cites Work
- Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation.
- On existence and scattering with minimal regularity for semilinear wave equations
- Generalized Strichartz inequalities for the wave equation
- Scattering for the radial 3D cubic wave equation
- Space‐time estimates for null forms and the local existence theorem
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- Global well-posedness for semi-linear wave equations
- Scattering of solutions to the defocusing energy subcritical semi-linear wave equation in 3D
- Global well-posedness for the radial defocusing cubic wave equation on $\mathbb{R}^{3}$ and for rough data
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