Email this article Self-Similar Solutions of the Cauchy Problem for a Parabolic Stochastic Differential Equation
- Authors: Mel’nik S.A.1
-
Affiliations:
- Humanities and Education Science Academy (Branch) of Vernadsky Crimean Federal University in Yalta
- Issue: Vol 55, No 8 (2019)
- Pages: 1077-1083
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/155126
- DOI: https://doi.org/10.1134/S0012266119080081
- ID: 155126
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Abstract
The dynamics of stochastic nonlinear parabolic equations is analyzed. Self-similar solutions of the Cauchy problem for a quasilinear stochastic equation of the parabolic type with power-law nonlinearities are constructed. The dynamics of the solutions and their supports is studied with the use of comparison theorems.
About the authors
S. A. Mel’nik
Humanities and Education Science Academy (Branch) of Vernadsky Crimean Federal University in Yalta
Author for correspondence.
Email: s.a.melnik@yandex.ru
Greece, Yalta
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