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Existence and Asymptotic Behavior for Hereditary Stochastic Evolution Equations

Existence and Asymptotic Behavior for Hereditary Stochastic Evolution Equations Existence and asymptotic behavior of nonlinear evolution equations with memory in the maximal order term, driven by additive or multiplicative Wiener stochastic processes, are studied. Examples include the nonlinear stochastic heat and diffusion equations with memory, viscoelastic fluid equations and the stochastic porous media equations with memory. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Existence and Asymptotic Behavior for Hereditary Stochastic Evolution Equations

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References (34)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer Science+Business Media New York
Subject
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/s00245-013-9224-2
Publisher site
See Article on Publisher Site

Abstract

Existence and asymptotic behavior of nonlinear evolution equations with memory in the maximal order term, driven by additive or multiplicative Wiener stochastic processes, are studied. Examples include the nonlinear stochastic heat and diffusion equations with memory, viscoelastic fluid equations and the stochastic porous media equations with memory.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Apr 1, 2014

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