The Heat Equation in a Non-cylindrical Domain Governed by a Subdifferential Inclusion
نویسنده
چکیده
Modelling of several phenomena (evolution of tumor cells or environmental models, among others) involve a partial differential equation defined in a time-evolving or non-cylindrical domain. This issue has been widely considered in the literature for different kind of partial differential equations (see references in [8]), however the evolution of the domain is usually described either by means of a time-dependent family of diffeomorphisms ([8]) or as the reachable set of a nonautonomous vector field ([4], [5]). In this talk we restrict ourselves to the heat equation and discuss the case where the evolution of the domain is governed by a differential inclusion of the subdifferential type, that is, we consider the problem
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تاریخ انتشار 2011