The Stampacchia maximum principle for stochastic partial differential equations and applications

DOI10.1016/j.jde.2015.10.022zbMath1343.35247OpenAlexW2176941812MaRDI QIDQ897821

Mickaël D. Chekroun, Roger M. Temam, Eun-Hee Park

Publication date: 7 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.jde.2015.10.022

zbMATH Keywords

maximum principletruncation techniquesstochastic partial differential equationnonlinear multiplicative noiseStampacchia comparison techniques

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Comparison principles in context of PDEs (35B51)

Related Items (17)

Random attractors for stochastic parabolic equations with additive noise in weighted spaces ⋮ Martingale solutions of stochastic nonlocal cross-diffusion systems ⋮ The Stampacchia maximum principle for stochastic partial differential equations forced by Lévy noise ⋮ Pathwise mild solutions for quasilinear stochastic partial differential equations ⋮ Stability of strong solutions for a model of incompressible two-phase flow under thermal fluctuations ⋮ Reaction-diffusion equations with transport noise and critical superlinear diffusion: local well-posedness and positivity ⋮ Finite-time blow-up of a non-local stochastic parabolic problem ⋮ Strong solutions to a nonlinear stochastic aggregation-diffusion equation ⋮ Positive Degenerate Holomorphic Groups of the Operators and Their Applications ⋮ An order approach to SPDEs with antimonotone terms ⋮ Barycentric interpolation of interface solution for solving stochastic partial differential equations on non-overlapping subdomains with additive multi-noises ⋮ Data-adaptive harmonic spectra and multilayer Stuart-Landau models ⋮ Boundary layer analysis for the stochastic nonlinear reaction-diffusion equations ⋮ Topological instabilities in families of semilinear parabolic problems subject to nonlinear perturbations ⋮ Global martingale solutions for a stochastic population cross-diffusion system ⋮ Positive Solutions to Sobolev Type Equations with Relatively p-Sectorial Operators ⋮ Transitions in stochastic non-equilibrium systems: efficient reduction and analysis

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