• شماره ركورد كنفرانس
    4303
  • عنوان مقاله

    The Kawahara equation in weighted Sobolev spaces on infinite intervals

  • پديدآورندگان

    Foroutan MOHAMMADREZA mr_forootan@pnu.ac.ir Payame Noor University , Ebadian ALI ebadian.ali@gmail.com Payame Noor University , Farzanfar FARZAD farzanfar@pnu.ac.ir Payame Noor University

  • تعداد صفحه
    4
  • كليدواژه
    Kawahara equation , local mild solutions , existence and uniqueness of solutions , weighted Sobolev spaces
  • سال انتشار
    1396
  • عنوان كنفرانس
    پنجمين سمينار ملي آناليز تابعي و كاربردهاي آن
  • زبان مدرك
    انگليسي
  • چكيده فارسي
    The initial-and boundary-value problem for the Kawahara equation, a fifth-order KdV type equation, is studied in weighted Sobolev space $L^2(e^xdx)$. The theory presented here includes the existence and uniqueness of a local mild solution of the Kawahara equation in a unbounded interval, under the effect of a localized damping mechanism.
  • كشور
    ايران