Self-similar solutions of the Cauchy problem for a parabolic stochastic differential equation

DOI10.1134/S0012266119080081zbMath1427.35381OpenAlexW2972375026WikidataQ115250537 ScholiaQ115250537MaRDI QIDQ2009910

Sergei Anatol'evich Melnyk

Publication date: 3 December 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119080081

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs with randomness, stochastic partial differential equations (35R60) Second-order parabolic equations (35K10)

Cites Work

• The compact support property for solutions to the heat equation with noise
• The long-time behaviour of the solutions to semilinear stochastic partial differential equations on the whole space
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