Global existence and asymptotic behavior of solutions to the generalized cubic double dispersion equation

Shuichi Kawashima, Yu Zhu Wang

    Research output: Contribution to journalArticlepeer-review

    24 Citations (Scopus)

    Abstract

    In this paper, we study the initial value problem for the generalized cubic double dispersion equation in n-dimensional space. Under a small condition on the initial data, we prove the global existence and asymptotic decay of solutions for all space dimensions n ≥ 1. Moreover, when n ≥ 2, we show that the solution can be approximated by the linear solution as time tends to infinity.

    Original languageEnglish
    Pages (from-to)233-254
    Number of pages22
    JournalAnalysis and Applications
    Volume13
    Issue number3
    DOIs
    Publication statusPublished - May 25 2015

    All Science Journal Classification (ASJC) codes

    • Analysis
    • Applied Mathematics

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