Dynamics for the energy critical nonlinear wave equation in high dimensions

DOI10.1090/S0002-9947-2010-04999-2zbMath1221.35248arXiv0911.4745OpenAlexW1984793007MaRDI QIDQ3085119

Xiaoyi Zhang, Dong Li

Publication date: 28 March 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4745

zbMATH Keywords

scatteringvariational structurespherically symmetric solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (10)

Dynamics of threshold solutions for energy critical NLW with inverse square potential ⋮ Scattering of the focusing energy-critical NLS with inverse square potential in the radial case ⋮ Scattering of the focusing energy-critical NLS with inverse square potential ⋮ Multi‐bubble blowup of focusing energy‐critical wave equation in dimension 6 ⋮ Threshold solutions for the 3 d cubic-quintic NLS ⋮ On threshold solutions of the equivariant Chern-Simons-Schrödinger equation ⋮ Numerical simulations for the energy-supercritical nonlinear wave equation ⋮ The energy-critical nonlinear wave equation with an inverse-square potential ⋮ Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions ⋮ Dynamics of Threshold Solutions for Energy Critical NLS with Inverse Square Potential

Cites Work

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• Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation
• Dynamic of threshold solutions for energy-critical NLS
• Dynamics for the energy critical nonlinear Schrödinger equation in high dimensions
• Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Best constant in Sobolev inequality
• Regularity results for nonlinear wave equations
• The global Cauchy problem for the critical nonlinear wave equation
• On existence and scattering with minimal regularity for semilinear wave equations
• Global and unique weak solutions of nonlinear wave equations
• Generalized Strichartz inequalities for the wave equation
• Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions
• Dynamics of Threshold Solutions for Energy-Critical Wave Equation
• The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher
• Regularity for the wave equation with a critical nonlinearity
• Endpoint Strichartz estimates
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

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