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Regularization of a non-characteristic Cauchy problem for the heat equation

✍ Scribed by Dinh Nho Hào

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
321 KB
Volume
15
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The non‐characteristic Cauchy problem for the heat equation u~xx~(x,t) = u~1~(x,t), 0 ⩽ x ⩽ 1, − ∞ < t < ∞, u(0,t) = φ(t), u~x~(0, t) = ψ(t), − ∞ < t < ∞ is regularizèd when approximate expressions for φ and ψ are given. Properties of the exact solution are used to obtain an explicit stability estimate.

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