Gradient estimates for the heat equation in the exterior domains under the neumann boundary condition

Kazuhiro Ishige

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We consider the Cauchy-Neumann problem for the heat equation in the exterior domain Ω of a compact set in RN (N ≥ 2). In this paper we give an estimate of the L-norm of the gradient of the solutions.

Original languageEnglish
Pages (from-to)401-410
Number of pages10
JournalDifferential and Integral Equations
Volume22
Issue number5-6
Publication statusPublished - 2009 May 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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