On the positivity of solutions of systems of stochastic PDEs

DOI10.1002/zamm.201100167zbMath1278.60101OpenAlexW2091049978MaRDI QIDQ2863152

Stefanie Sonner, Jacky Cresson, Messoud A. Efendiev

Publication date: 21 November 2013

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11824/543

zbMATH Keywords

positive conenecessary and sufficient conditionsstochastic PDEssemi-linear parabolic systems

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Semilinear parabolic equations (35K58) Positive solutions to PDEs (35B09)

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Cites Work

• Comparison methods for a class of function valued stochastic partial differential equations
• Invariant sets and existence theorems for semilinear parabolic and elliptic systems
• Comparison of systems of stochastic partial differential equations
• Wong-Zakai approximations for stochastic differential equations
• On the relation between ordinary and stochastic differential equations
• Non-random Invariant Sets for Some Systems of Parabolic Stochastic Partial Differential Equations
• Riemann-Stieltjes approximations of stochastic integrals

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