On the fundamental solution of the Cauchy problem for some parabolic equations with increasing coefficients and some of its applications
1 Department of Mathematical Physics and Differential Equations, National Technical University of Ukraine "Ihor 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, parabolic equations
Abstract
We study second order parabohc equations, whmh have coeffidents of first derivatives whh respect to spatial variables are growrng at rnfimty as hnear functions and other coeffidents are constants. Results of rnvestigation for the fundamental solution, correct solvabfihy of the Cauchy problem and rntegral representations for such equations are presented.
Cite
- ACS Style
- Zabolotko, T.O.; Ivasyshen, S.D.; Pasichnyk, H. On the fundamental solution of the Cauchy problem for some parabolic equations with increasing coefficients and some of its applications. Bukovinian Mathematical Journal. 2018, 2
- AMA Style
- Zabolotko TO, Ivasyshen SD, Pasichnyk H. On the fundamental solution of the Cauchy problem for some parabolic equations with increasing coefficients and some of its applications. Bukovinian Mathematical Journal. 2018; 2(2-3).
- Chicago/Turabian Style
- Tetyana Oleksandrivna Zabolotko, Stepan Dmytrovych Ivasyshen, Halyna Pasichnyk. 2018. "On the fundamental solution of the Cauchy problem for some parabolic equations with increasing coefficients and some of its applications". Bukovinian Mathematical Journal. 2 no. 2-3.
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