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

Kazuhiro Ishige

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

Kazuhiro Ishige

SCI - Mathematics

Research output: Contribution to journal › Article › peer-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 R^N (N ≥ 2). In this paper we give an estimate of the L^∞-norm of the gradient of the solutions.

Original language	English
Pages (from-to)	401-410
Number of pages	10
Journal	Differential and Integral Equations
Volume	22
Issue number	5-6
Publication status	Published - 2009 May 1

ASJC Scopus subject areas

Analysis
Applied Mathematics

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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.",

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journal = "Differential and Integral Equations",

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JF - Differential and Integral Equations

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

Abstract

ASJC Scopus subject areas

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