Multisolitons for the Defocusing Energy Critical Wave Equation with Potentials

Gong Chen

doi:10.1007/s00220-018-3170-4

Multisolitons for the Defocusing Energy Critical Wave Equation with Potentials

Gong Chen

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We construct multi-soliton solutions to the defocusing energy critical wave equation with potentials in R³ and study their asymptotic stability in the energy space based on both regular and reversed Strichartz estimates developed in [GC3]. We also study related scattering problems in the stable case. Since each soliton decays slowly with rate 1〈x〉 , some refined estimates for the charge transfer model are also established.

Original language	English
Pages (from-to)	45-82
Number of pages	38
Journal	Communications in Mathematical Physics
Volume	364
Issue number	1
DOIs	https://doi.org/10.1007/s00220-018-3170-4
State	Published - Nov 1 2018

Bibliographical note

Publisher Copyright:
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature.

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-018-3170-4

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abstract = "We construct multi-soliton solutions to the defocusing energy critical wave equation with potentials in R3 and study their asymptotic stability in the energy space based on both regular and reversed Strichartz estimates developed in [GC3]. We also study related scattering problems in the stable case. Since each soliton decays slowly with rate 1〈x〉 , some refined estimates for the charge transfer model are also established.",

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AB - We construct multi-soliton solutions to the defocusing energy critical wave equation with potentials in R3 and study their asymptotic stability in the energy space based on both regular and reversed Strichartz estimates developed in [GC3]. We also study related scattering problems in the stable case. Since each soliton decays slowly with rate 1〈x〉 , some refined estimates for the charge transfer model are also established.

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Multisolitons for the Defocusing Energy Critical Wave Equation with Potentials

Abstract

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