Dynamics of solutions of the Cauchy problem for semilinear parabolic stochastic partial differential equations with power-law singularities

DOI10.1134/S0012266116010067zbMath1338.60162OpenAlexW2284723518MaRDI QIDQ285016

Sergei Anatol'evich Melnyk

Publication date: 18 May 2016

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

Full work available at URL: https://doi.org/10.1134/s0012266116010067

zbMATH Keywords

Cauchy problempower-law singularitiessemilinear parabolic stochastic partial differential equations

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Semilinear parabolic equations (35K58)

Cites Work

• Maximum principle and comparison theorem for quasi-linear stochastic PDE's
• Comparison of systems of stochastic partial differential equations
• A concise course on stochastic partial differential equations
• Regularity of solutions of linear stochastic equations in hilbert spaces
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