Random attractors for quasi-continuous random dynamical systems and applications to stochastic reaction–diffusion equations☆
By Yangrong Li, B. Guo. 2008
122 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/56ca4c9b500b3744f26892d620c55456e809cd9a
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In Computational Theory and Mathematics
In Computer Networks and Communications
In Control and Systems Engineering
Citations in the corpus
- Existence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equations (2015, methodology): “A concept of a so-called quasicontinuous RDS was introduced in [25] to overcome this difficult.”
- Random attractors for a class of stochastic partial differential equations driven by general additive noise (2010, unknown): “46 41 v2 [ m at AMS Subject Classification: 35B41, 60H15, 37L30, 35B40 Keywords: Random attractor; Lévy noise; fractional Brownian motion; stochastic evolution equations; porous media equations; p-Laplace equation; reaction-diffusion equations.”
- Random attractors for stochastic reaction–diffusion equations on unbounded domains (2009, background): “Aswe know, the asymptotic behavior of a randomdynamical system (RDS) is characterized by random attractors, which were first introduced by Crauel and Flandoli [3] and Schmalfuss [4] and then developed in [1, 2, 5–12] and among others.”