# Existence of a Global Classical Solution of One Problem Arising in Combustion Theory

### Abstract

We consider a multidimensional free-boundary problem for a parabolic equation that arises in combustion theory. We prove the existence of a global classical solution. The idea of the method is as follows: first, we perform the differential–difference approximation of the problem and establish its solvability; then we prove uniform estimates and perform a limit transition.
Published

25.10.2001

How to Cite

*Ukrains’kyi Matematychnyi Zhurnal*, Vol. 53, no. 10, Oct. 2001, pp. 1309-1, https://umj.imath.kiev.ua/index.php/umj/article/view/4350.

Issue

Section

Research articles