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


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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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S. Mel’nik

Humanities and Education Science Academy (Branch) of Vernadsky Crimean Federal University in Yalta

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Email: s.a.melnik@yandex.ru
希腊, Yalta

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