Global existence and optimal time-decay estimates of solutions to the generalized double dispersion equation on the framework of Besov spaces

Yuzhu Wang, Jiang Xu, Shuichi Kawashima

研究成果: Article

抜粋

We investigate the initial value problem for the generalized double dispersion equation in any dimensions. Inspired by [28] for the hyperbolic system of first order PDEs, we develop Littlewood-Paley pointwise energy estimates for the dissipative wave equation of high-order. Furthermore, with aid of the frequency-localization Duhamel principle, we establish the global existence and optimal decay estimates of solutions in spatially critical Besov spaces. Our results could hold true for any dimensions (n≥1). Indeed, the proofs are different in case of high dimensions and low dimensions owing to interpolation tricks.

元の言語English
記事番号123455
ジャーナルJournal of Mathematical Analysis and Applications
481
発行部数1
DOI
出版物ステータスPublished - 2020 1 1

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ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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