 Homogenization of random parabolic operator with large potentialFabien Campillo, Marina Kleptsyna and Andrey Piatnitski Stochastic Processes and their Applications, 2001, vol. 93, issue 1, 57-85 Abstract: We study the averaging problem for a divergence form random parabolic operators with a large potential and with coefficients rapidly oscillating both in space and time variables. We assume that the medium possesses the periodic microscopic structure while the dynamics of the system is random and, moreover, diffusive. A parameter [alpha] will represent the ratio between space and time microscopic length scales. A parameter [beta] will represent the effect of the potential term. The relation between [alpha] and [beta] is of great importance. In a trivial case the presence of the potential term will be "neglectable". If not, the problem will have a meaning if a balance between these two parameters is achieved, then the averaging results hold while the structure of the limit problem depends crucially on [alpha] (with three limit cases: one classical and two given under martingale problems form). These results show that the presence of stochastic dynamics might change essentially the limit behavior of solutions. Keywords: Random; operators; Homogenization; Averaging (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:93:y:2001:i:1:p:57-85 Ordering information: This journal article can be ordered from Access Statistics for this article Stochastic Processes and their Applications is currently edited by T. Mikosch More articles in Stochastic Processes and their Applications from Elsevier |
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