Kravvaritis, Dimitrios; Papageorgiou, Nikolaos S. A random nonlinear multivalued evolution equation in Hilbert space. (English) Zbl 0697.60072 Colloq. Math. 58, No. 1, 131-143 (1989). We prove the existence of a strong solution for a random multivalued evolution equation involving the subdifferential of a convex normal integrand and a random, convex valued, upper semicontinuous multivalued perturbation. Finally, some applications to random nonlinear partial differential equations are presented. Reviewer: D.Kravvaritis MSC: 60H25 Random operators and equations (aspects of stochastic analysis) Keywords:semicontinuous multifunctions; strong solution; multivalued evolution equation; multivalued perturbation; partial differential PDFBibTeX XMLCite \textit{D. Kravvaritis} and \textit{N. S. Papageorgiou}, Colloq. Math. 58, No. 1, 131--143 (1989; Zbl 0697.60072) Full Text: DOI