Nature of heat propagation in nonlinear media with significantly nonstationary properties
type: Item
instance of: scholarly article
title: Nature of heat propagation in nonlinear media with significantly nonstationary properties
zbMATH Open document ID: 0592.35073
published in: Moscow University Mathematics Bulletin
publication date: 1985-01-01T00:00:00Z
review text: The author considers the Cauchy problem \[ (i)\quad [p(x,t)(u^ m)_ x]-q(x,t)u^ n-u_ t=0,\quad u(0,x)=u_ 0(x) \] \((t\geq 0,x\in {\mathbb{R}}^ 1)\) where \(m>1\), \(n>0\), \(p(x,t)>0\), \(u_ 0\geq 0\). Some theorems about global solvability of (i) and the localization of its generalized solution are given.
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 3951126
zbMATH Keywords: Cauchy problem
zbMATH Keywords: global solvability
zbMATH Keywords: generalized solution
author: Anatolii S. Kalashnikov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3951126