Differential Equations

, Volume 55, Issue 8, pp 1077–1083 | Cite as

Self-Similar Solutions of the Cauchy Problem for a Parabolic Stochastic Differential Equation

  • S. A. Mel’nikEmail author
Partial Differential Equations


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.


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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Humanities and Education Science Academy (Branch) of Vernadsky Crimean Federal University in YaltaYaltaGreece

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