Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2016 9 (3)
- Authors
- Romanenko, Galina V.; Frolenkov, Igor V.
- Contact information
- Romanenko, Galina V.:Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; galina.romanencko@yandex.ru; Frolenkov, Igor V.:Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; igor@frolenkov.ru
- Keywords
- inverse problem; direct problem; loaded equation; parabolic equation; weak approximation method; system of partial differential equations; Cauchy problem
- Abstract
We study a multidimensional system of two loaded parabolic equations of a special kind with the Cauchy data. Sufficient conditions for the existence of a solution in the class of smooth bounded functions are obtained. The splitting method at differential level (the method of weak approximation) is used in the proof
- Pages
- 364–373
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/20403
Journal of Siberian Federal University. Mathematics & Physics / On the Solvability of a System of Two Multidimensional Loaded Parabolic Equations with the Cauchy Data
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