The Cauchy problem for the heat equation with a strongly variable coefficient
type: Item
instance of: scholarly article
title: The Cauchy problem for the heat equation with a strongly variable coefficient
zbMATH Open document ID: 0962.35074
author: V. P. Glushko
author: S. A. Tkacheva
published in: Doklady Mathematics
publication date: 2001-01-28T00:00:00Z
review text: The authors consider an equation of the form: \[ \frac{\partial u}{\partial t}- \alpha (x) \frac{\partial}{\partial x} (\alpha (x) \frac{\partial u}{\partial x})=f(x,t),\quad x\in \mathbb{R},\;t>0. \] The smoothness of the solution of this equation is studied under the assumption that the coefficient \(\alpha\) is positive, has an integrable singularity at \(x=0\) and is nonintegrable as \(x \rightarrow \infty.\)
reviewed by: Ruxandra Stavre
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35R05
zbMATH DE Number: 1557639
zbMATH Keywords: integrable singularity
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1557639