Weighted Sobolev spaces applied to nonlinear Klein-Gordon equation

DOI10.1016/S0764-4442(99)80454-6zbMath0930.35109MaRDI QIDQ4261678

Vladimir Georgiev, Sandra Lucente

Publication date: 2 September 1999

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

zbMATH Keywords

weighted Sobolev inequalitynonlinearity of fractional order

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Second-order nonlinear hyperbolic equations (35L70)

Related Items (12)

Wave and scattering operators for the nonlinear Klein-Gordon equation on a quarter-plane ⋮ Global solutions for the Dirac-Proca equations with small initial data in 3+1 space time dimensions ⋮ Modified scattering for the Klein-Gordon equation with the critical nonlinearity in three dimensions ⋮ On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension ⋮ The initial value problem for the quadratic nonlinear Klein-Gordon equation ⋮ Modified scattering for the quadratic nonlinear Klein–Gordon equation in two dimensions ⋮ Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions ⋮ Scattering operator for nonlinear Klein-Gordon equations in higher space dimensions ⋮ Final state problem for the cubic nonlinear Klein–Gordon equation ⋮ Asymptotics of odd solutions for cubic nonlinear Schrödinger equations ⋮ SCATTERING OPERATOR FOR NONLINEAR KLEIN–GORDON EQUATIONS ⋮ Quadratic nonlinear Klein-Gordon equation in one dimension

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