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

• Date: 2001
• Main Authors: Borodin, M. A., Бородин, М. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4350
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 so...