Dispersive decay for the 1D Klein-Gordon equation with variable coefficient nonlinearities

DOI10.1090/tran/6478zbMath1339.35191arXiv1307.4808OpenAlexW1766669471MaRDI QIDQ2787966

Jacob Sterbenz

Publication date: 7 March 2016

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

Full work available at URL: https://arxiv.org/abs/1307.4808

zbMATH Keywords

resonant interaction\( L^\infty \) scattering

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Initial value problems for second-order hyperbolic equations (35L15) Resonance in context of PDEs (35B34) Second-order semilinear hyperbolic equations (35L71)

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Cites Work

• Lectures on nonlinear hyperbolic differential equations
• A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation
• “Existence globale et comportement asymptotique pour l'équation de Klein–Gordon quasi linéaire à données petites en dimension 1” [Ann. Sci. École Norm. Sup. (4) 34 (1) (2001) 1–61]
• Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
• Normal forms and quadratic nonlinear Klein-Gordon equations
• A REMARK ON LONG RANGE SCATTERING FOR THE NONLINEAR KLEIN–GORDON EQUATION
• Topological Solitons

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