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Global attractors for multivalued random semiflows generated by random differential inclusions with additive noise
Institution:1. Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. Correos 1160, 41080 Sevilla, Spain;2. Universidad Cardenal Herrera CEU, Comisario 3, 03203-Elche, Alicante, Spain;1. Department of Mathematics, Marmara University, Istanbul, Turkey;2. Helmholtz Center Munich/TU Munich ICB/Zentrum Mathematik Oberschleißheim/Garching, Germany;3. Department of Applied Physics, School of Science and Engineering, Waseda University, Tokyo, Japan;4. Department of Mathematics and Statistics and Biophysics Interdepartmental Group, University of Guelph, Guelph ON, Canada;1. Universidade Federal da Paraíba, Departamento de Matemática, 58051-900 João Pessoa PB, Brazil;2. Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668, 13560-970 São Carlos SP, Brazil;3. Institute of Mathematics, Silesian University, 40-007 Katowice, Poland;4. Universidade Federal de São Carlos, Departamento de Matemática, 13565-905 São Carlos SP, Brazil;1. Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação-ICMC, 13566-590, São Carlos, SP, Brazil;2. Universidade Federal de São Carlos, Departamento de Matemática, 13565-905 São Carlos - SP - Brazil
Abstract:We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the cocycle property. We show how this is a suitable framework for the study of the asymptotic behaviour of some multivalued stochastic parabolic equations by generalizing the concept of global random attractor to the case of a MRDS.
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