The Cauchy Problem for the Heat Equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1967 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 4, pages 317-336 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Cannon, J. R.; Douglas, Jim jun.;

doi: 10.1137/0704028

The Cauchy Problem for the Heat Equation

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Abstract

Part I is devoted to the consideration of a Cauchy-like problem for the heat equation. Let $u(x,t)$ satisfy the heat equation in $D = \{ (x,t):0 < x < s(t),0 < t \leqq T\} $ and let $u(x,0) = \varp...

Keywords

partial differential equations

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