General Mixed Problems for the Kdv Equations on Bounded Intervals

نویسندگان

  • NIKOLAI A. LARKIN
  • JACKSON LUCHESI
چکیده

This article is concerned with initial-boundary value problems for the Korteweg-de Vries (KdV) equation on bounded intervals. For general linear boundary conditions and small initial data, we prove the existence and uniqueness of global regular solutions and its exponential decay, as t→∞.

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تاریخ انتشار 2010