Approximating a Feller Semigroup by Using the Yosida Approximation of the Symbol of its Generator期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Approximating a Feller Semigroup by Using the Yosida Approximation of the Symbol of its Generator

Authors:	Niels Jacob Alexander Potrykus

Affiliation:	(1) Department of Mathematics, University of Wales Swansea, Singleton Park, Swansea, SA2 8PP, United Kingdom

Abstract:	We show that if the pseudodifferential operator −q(x,D) generates a Feller semigroup (T_t)_t_≥0 then the Feller semigroups (T_t^(v))_t_≥0 generated by the pseudodifferential operators with symbol will converge strongly to (T_t)_t_≥0 as ν →∞.

Keywords:	Primary 47D07 Secondary 47G30 35S05 47D03 60J35
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