Long time existence for Klein-Gordon equations with small initial data of a Toeplitz structure

DOI10.1016/J.JFA.2013.01.007zbMath1290.35226OpenAlexW2088853954MaRDI QIDQ1948138

Rafik Imekraz

Publication date: 30 April 2013

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2013.01.007

zbMATH Keywords

Hamiltoniannormal formnonlinearZoll manifoldKlein-GordonToeplitz structure

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

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Normal form for semi-linear Klein-Gordon equations with superquadratic oscillators ⋮ Dynamics of nonlinear Klein-Gordon equations in low regularity on \(\mathbb{S}^2\)

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