Cauchy problem for a class of parabolic equations with regular initial distributions of type $S'$
1 Department of Differential Equations, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Department of Aplied Mathematics and Information Technologies, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
parabolic equations
Abstract
For parabolic Shilov-type equations with variable coefficients of bounded smoothness and non-negative genus, the solvability of the Cauchy problem in the class of unrestricted initial data, which are regular distributions of type $S'$, is established.
Cite
- ACS Style
- Litovchenko, V.A.; Unguryan, H. Cauchy problem for a class of parabolic equations with regular initial distributions of type $S'$. Bukovinian Mathematical Journal. 2016, 4
- AMA Style
- Litovchenko VA, Unguryan H. Cauchy problem for a class of parabolic equations with regular initial distributions of type $S'$. Bukovinian Mathematical Journal. 2016; 4(1-2).
- Chicago/Turabian Style
- Vladyslav Antonovich Litovchenko, Halyna Unguryan. 2016. "Cauchy problem for a class of parabolic equations with regular initial distributions of type $S'$". Bukovinian Mathematical Journal. 4 no. 1-2.
Export