APPROXIMATION OF A SEMIGROUP MODEL OF ANOMALOUS DIFFUSION IN A BOUNDED SET

被引：2
|
作者：
Thompson, Stephen [1 ]
Seidman, Thomas I. [1 ]
机构：
[1] Univ Maryland Baltimore Cty, Dept Math & Stat, Baltimore, MD 21250 USA
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2013年 / 2卷 / 01期
关键词：
Reflected stable process; operator semigroup; anomalous diffusion; regional fractional Laplacian; Trotter-Kato theorem; mathematical epidemiology; STABLE PROCESSES; FRONT DYNAMICS;
D O I：
10.3934/eect.2013.2.173
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 prior?, bound for solutions to these equations, and therefore prove global existence of solutions. An application to epidemiology is also given.
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页码：173 / 192
页数：20
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