Remarks on infinite energy solutions of nonlinear wave equations

DOI10.1016/j.na.2009.02.112zbMath1195.35216OpenAlexW2007096306MaRDI QIDQ1029462

Shu-Mao Liu

Publication date: 10 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.02.112

zbMATH Keywords

semilinear wave equationBesov spaceLorentz spaceMarcinkiewicz spaceglobal solutionsBony's paraproduct algorithm

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (1)

On existence and scattering theory for the Klein-Gordon-Schrödinger system in an infinite \(L^{2}\)-norm setting

Cites Work

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• Self-similar solutions, uniqueness and long-time asymptotic behavior for semilinear heat equations.
• Strong solutions to the nonlinear heat equation in homogeneous Besov spaces
• Global infinite energy solutions of the critical semilinear wave equation
• Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations
• Self-similar solutions and semi-linear wave equations in Besov spaces
• Flows of non-Lipschitzian vector fields and Navier-Stokes equations
• The global Cauchy problem for a relativistic scalar field with power interaction

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