Structural properties of semilinear SPDEs driven by cylindrical stable processes
Structural properties of semilinear SPDEs driven by cylindrical stable processes
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DOI：
10.1007/s00440-009-0243-5
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发表时间：
2008-10
影响因子：
2
通讯作者：
E. Priola;J. Zabczyk
中科院分区：
文献类型：
--
作者：
E. Priola;J. Zabczyk
考虑一类由加性柱形稳定噪声驱动的半线性随机发展方程。我们研究了解的结构性质，如马氏性、不可约性、随机连续性、Feller性质和强Feller性质，并研究轨道的可积性。将所得结果应用于具有Dirichlet边界条件、有界非线性和Lipschitz非线性的半线性随机热方程。
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 are applied to semilinear stochastic heat equations with Dirichlet boundary conditions and bounded and Lipschitz nonlinearities.