Classical nonlinear evolution equations, Cauchy problem and scattering

DOI10.1016/0378-4371(84)90251-6zbMath0599.35125OpenAlexW2065907850MaRDI QIDQ1080080

Jean Ginibre

Publication date: 1984

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(84)90251-6

zbMATH Keywords

semilinear Schrödinger equationsglobal existencenonlinear evolution equationsnonlinear scatteringHartree equationsemilinear Klein- Gordon equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• Invariant wave equations. Proceedings of the Ettore Majorana international school of mathematical physics held in Erice, June 27 to July 9, 1977
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. II. Completion of proof
• Abstract non linear wave equations
• Decay and scattering of solutions of a nonlinear Schrödinger equation
• Decay and asymptotics for \(\square u = F(u)\)
• Non-linear semi-groups
• Decay and scattering of solutions of a nonlinear relativistic wave equation
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