Approximation of a semigroup model of anomalous diffusion in a bounded set

Autor:	Thomas I. Seidman, Stephen Thompson
Rok vydání:	2013
Předmět:	Pure mathematics Sequence Control and Optimization Bounded set Semigroup Anomalous diffusion Applied Mathematics Mathematical analysis Limiting Operator (computer programming) Modeling and Simulation Convergence (routing) A priori and a posteriori Mathematics
Zdroj:	Evolution Equations & Control Theory. 2:173-192
ISSN:	2163-2480
DOI:	10.3934/eect.2013.2.173
Popis:	The convergence is established for a sequence of operator semigroups, where the limiting object is the transition semigroup for a reflected stable processes. For semilinear equations involving the generators of these transition semigroups, an approximation method is developed as well. This makes it possible to derive an a priori bound for solutions to these equations, and therefore prove global existence of solutions. An application to epidemiology is also given.
Databáze:	OpenAIRE
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