arXiv:0810.5063 Abstract | arXiv Analytics

arXiv:0810.5063 [math.AP]Abstract References Reviews Resources

Structural properties of semilinear SPDEs driven by cylindrical stable processes

Published 2008-10-28, updated 2011-10-04Version 2

We consider a class of semilinear stochastic evolution equations driven by an additive cylindrical stable noise.We investigate structural properties of the solutions like Markov, irreducibility, stochastic continuity, Feller and strong Feller properties, and study integrability of trajectories. The obtained results can be applied to semilinear stochastic heat equations with Dirichlet boundary conditions and bounded and Lipschitz nonlinearities.

Comments: This version is almost identical with the one published in Probab. Theory Related Fields. We have also corrected some constants appearing in Theorem 4.16 and Hypothesis 5.6

Journal: Probab. Theory Related Fields 149 (2011), 97-137

Categories: math.AP, math.PR

Subjects: 47D07, 60H15, 60J75, 35R60

Keywords: semilinear spdes driven, structural properties, cylindrical stable processes, semilinear stochastic evolution equations driven, semilinear stochastic heat equations

Tags: journal article

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