Fundamental solution of the Cauchy problem for a degenerate parabolic equation with increasing coefficients of the group of lower terms
1 National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv , 03056, Ukraine
2 Department of Mathematical Physics and Differential Equations, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, 01001, Ukraine
3 Department of Mathematical Modeling, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
the Cauchy problem, a degenerate parabolic equation
Abstract
The fundamental solution of the Cauchy problem for second order degenerate parabolic equation was constructed and its properties were investigated. Leading coefficients and lowest ones are respectively constants and increasing functions.
References
[1] Ivasyshen S.D., Pasichnyk G.S. Koshy problem for the Fokker-Planck-Kolmogorov equation of a multidimensional normal Markov process // Mathematical methods and physical and mechanical fields. 2010 - 53, № 1 - P. 15-22.
[2] Gantmacher F. Matrix Theory. - Moscow: Nauka, 1988. - 552 p.
[3] Vladimirov V.S. Equations of Mathematical Physics. - Moscow: Nauka, 1988. - 512 p.
Cite
- ACS Style
- Babych, O.O.; Ivasyshen, S.D.; Pasichnyk, H. Fundamental solution of the Cauchy problem for a degenerate parabolic equation with increasing coefficients of the group of lower terms. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Babych OO, Ivasyshen SD, Pasichnyk H. Fundamental solution of the Cauchy problem for a degenerate parabolic equation with increasing coefficients of the group of lower terms. Bukovinian Mathematical Journal. 2018; 1(1-2).
- Chicago/Turabian Style
- O. O. Babych, Stepan Dmytrovych Ivasyshen, Halyna Pasichnyk. 2018. "Fundamental solution of the Cauchy problem for a degenerate parabolic equation with increasing coefficients of the group of lower terms". Bukovinian Mathematical Journal. 1 no. 1-2.
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