作者：Chueshov, ID; Vuillermot, PA
作者单位：Ministry of Education & Science of Ukraine; VN Karazin Kharkiv National University; Universite de Lorraine; Centre National de la Recherche Scientifique (CNRS)
摘要：In this article we prove new results concerning the long-time behavior of random fields that are solutions in some sense to a class of semilinear parabolic equations subjected to a homogeneous and multiplicative white noise. Our main results state that these random fields eventually homogeneize with respect to the spatial variable and finally converge to a non-random global attractor which consists of two spatially and temporally homogeneous asymptotic states. More precisely, we prove that the...
作者：Bie, ESL
作者单位：Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Clermont Auvergne (UCA)
摘要：We study a Stochastic Partial Differential Equation, of parabolic type, set on IRd, with d is an element of N. This equation is driven by a Poisson random measure, either compensated or not. The first part of this work shows existence and uniqueness of a progressively measurable solution. The technics involved are close to those used to deal with analogous equations driven by a Gaussian noise. The second part gives some criterions on the intensity of the Poisson random measure, in order to ens...
