Structural properties of semilinear SPDEs driven by cylindrical stable processes

Details Structural properties of semilinear SPDEs driven by cylindrical stable processes Structural properties of semilinear SPDEs driven by cylindrical stable processes

2008-10-28

arxiv.org/abs/0810.5063v2

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

Mathematics

Analysis of PDEs

This version is almost identical with the one published in Probab. Theory Related Fields. We have also corrected some constant

Scientific paper

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.

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