Quadratic Klein-Gordon equations with a potential in one dimension

This paper proposes a fairly general new point of view on the question of asymptotic stability of (topological) solitons. Our approach is based on the use of the distorted Fourier transform at the nonlinear level; it does not rely only on Strichartz or virial estimates and is therefore able to treat...

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Bibliographic Details
Main Authors: Pierre Germain, Fabio Pusateri
Format: Article
Language:English
Published: Cambridge University Press 2022-01-01
Series:Forum of Mathematics, Pi
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508622000099/type/journal_article