Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2014 7 (2)
- Authors
- Frolenkov, Igor V.; Darzhaa, Maria A.
- Contact information
- Frolenkov, Igor V.:Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Darzhaa, Maria A.:Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041 Russia;
- Keywords
- inverse problem; direct problem; loaded equation; parabolic equation; equation of the Burgers-type; method of weak approximation
- Abstract
Two problems are considered in this paper. First problem is the Cauchy problem for a two-dimensional loaded parabolic equation with coefficients dependent on unknown function and its derivatives. Second problem is the Cauchy problem for one-dimensional equation of the Burgers-type. The sufficient condi- tions of the existence of solutions of these problems in classes of smooth bounded functions are presented in the paper. The method of weak approximation is used for the purpose of obtaining the proof
- Pages
- 173–185
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/10303
Journal of Siberian Federal University. Mathematics & Physics / On the Existence of Solution of Some Problems for Nonlinear Loaded Parabolic Equations with Cauchy Data
Full text (.pdf)