TY - JOUR
AU - M. A. Borodin
PY - 2001/10/25
Y2 - 2024/05/18
TI - Existence of a Global Classical Solution of One Problem Arising in Combustion Theory
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 53
IS - 10
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/4350
AB - 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 differentialâ€“difference approximation of the problem and establish its solvability; then we prove uniform estimates and perform a limit transition.
ER -