Long-Time Dispersive Estimates for Perturbations of a Kink Solution of One-Dimensional Cubic Wave Equations

DOI10.4171/MEMS/1MaRDI QIDQ5871289

Jean-Marc Delort, Nader Masmoudi

Publication date: 18 January 2023

Published in: Memoirs of the European Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

one space dimensiondispersive estimatescubic wave equationsmall perturbations of kinks

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Second-order semilinear hyperbolic equations (35L71)

Related Items (7)

Dynamics of two interacting kinks for the \(\phi^6\) model ⋮ Asymptotic stability of the sine-Gordon kink under odd perturbations ⋮ On 1d quadratic Klein-Gordon equations with a potential and symmetries ⋮ Internal mode-induced growth in \(3d\) nonlinear Klein-Gordon equations ⋮ A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models ⋮ Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities ⋮ On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential

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