@article{Borodin_2001, title={Existence of a Global Classical Solution of One Problem Arising in Combustion Theory}, volume={53}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/4350}, abstractNote={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.}, number={10}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Borodin, M. A.}, year={2001}, month={Oct.}, pages={1309-1319} }