Local and global existence of solutions to the nonlocal Whitham equation on half-line

Nakao Hayashi, Elena I. Kaikina, Reynaldo Manzo

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

The solutions to the initial-boundary value problem for nonlinear nonlocal Whitham equation on half-line were discussed. The dissipation of the heat equation having boundary value problem on half-line was discussed. The solution requires a direct approach based on the estimates of the Green function. The problem of the boundary data on half-line, included for its solvability and uniqueness, was studied for the first time.

Original languageEnglish
Pages (from-to)53-75
Number of pages23
JournalNonlinear Analysis, Theory, Methods and Applications
Volume48
Issue number1
DOIs
Publication statusPublished - 2002 Jan 1
Externally publishedYes

Keywords

  • Boundary value problem on half-line
  • Dissipative equation
  • Large time asymptotics
  • Nonlocal nonlinear equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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