Strichartz estimates for Klein-Gordon equations with moving potentials

Gong Chen; Jacek Jendrej

Strichartz estimates for Klein-Gordon equations with moving potentials

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arxiv 2210.03462 v2 pith:BF3KNV7U submitted 2022-10-07 math.AP

Gong Chen , Jacek Jendrej This is my paper · ORCID

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keywords equationsestimatesklein-gordonmovingpotentialsstabilitystrichartzanalysis

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We study linear Klein-Gordon equations with moving potentials motivated by the stability analysis of traveling waves and multi-solitons. In this paper, Strichartz estimates, local energy decay and the scattering theory for these models are established. The results and estimates obtained in this paper will be used to study the interaction of solitons and the stability of multisolitons of nonlinear Klein-Gordon equations.

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Kink dynamics for the Yang-Mills field in an extremal Reissner-Nordstr\"om black hole
math.AP 2025-01 reject novelty 7.0 of 10

For the Bizon-Kahl Yang-Mills kink in an extremal Reissner-Nordström background, globally bounded perturbations are shown to converge locally in space, and a finite-codimensional stable manifold is built.

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