The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions
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Publication:3003591
DOI10.1090/S0002-9939-2010-10615-9zbMath1218.35148arXiv1002.1756OpenAlexW2963348714MaRDI QIDQ3003591
Publication date: 27 May 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.1756
Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
Related Items (28)
On blowup in supercritical wave equations ⋮ Scattering for defocusing energy subcritical nonlinear wave equations ⋮ The Defocusing Energy-Supercritical Nonlinear Schrödinger Equation in High Dimensions ⋮ The defocusing \(\dot{H}^{1/2}\)-critical NLS in high dimensions ⋮ Bounded solutions to an energy subcritical non-linear wave equation on \(\mathbb{R}^3\) ⋮ Scattering for radial, semi-linear, super-critical wave equations with bounded critical norm ⋮ The defocusing energy-supercritical NLS in four space dimensions ⋮ Long time behaviour of finite-energy radial solutions to energy subcritical wave equation in higher dimensions ⋮ Energy distribution of solutions to defocusing semi-linear wave equation in two dimensional space ⋮ Defocusing \(\dot{H}^{\frac{ 1}{ 2}} \)-critical inhomogeneous nonlinear Schrödinger equations ⋮ Blow-up criteria below scaling for defocusing energy-supercritical NLS and quantitative global scattering bounds ⋮ Scattering for radial bounded solutions of focusing supercritical wave equations in odd dimensions ⋮ Numerical simulations for the energy-supercritical nonlinear wave equation ⋮ The defocusing energy-supercritical Hartree equation ⋮ Stable self-similar blowup in energy supercritical Yang-Mills theory ⋮ Large global solutions for nonlinear Schrödinger equations. I: Mass-subcritical cases ⋮ Scattering theory for the radial \(\dot{H}^{\frac{1}{2}}\)-critical wave equation with a cubic convolution ⋮ Scattering theory for the defocusing energy-supercritical nonlinear wave equation with a convolution ⋮ Conditional global existence and scattering for a semi-linear Skyrme equation with large data ⋮ Inward/outward energy theory of non-radial solutions to 3D semi-linear wave equation ⋮ Weak concentration and wave operator for a 3D coupled nonlinear Schrödinger system ⋮ A semi-linear shifted wave equation on the hyperbolic spaces with application on a quintic wave equation on $\mathbb {R}^2$ ⋮ Scattering theory for energy-supercritical Klein-Gordon equation ⋮ On the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations ⋮ Solution to the semilinear wave equation with a pyramid-shaped blow-up surface ⋮ Energy distribution of radial solutions to energy subcritical wave equation with an application on scattering theory ⋮ The defocusing energy-supercritical cubic nonlinear wave equation in dimension five ⋮ Morse index for the ground state in the energy supercritical Gross-Pitaevskii equation
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