Self-Similar Solutions of the Cauchy Problem for a Parabolic Stochastic Differential Equation
- 作者: Mel’nik S.A.1
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隶属关系:
- Humanities and Education Science Academy (Branch) of Vernadsky Crimean Federal University in Yalta
- 期: 卷 55, 编号 8 (2019)
- 页面: 1077-1083
- 栏目: 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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详细
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.
作者简介
S. Mel’nik
Humanities and Education Science Academy (Branch) of Vernadsky Crimean Federal University in Yalta
编辑信件的主要联系方式.
Email: s.a.melnik@yandex.ru
希腊, Yalta
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