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By Giovanni (i-frnz-am) Van Der Mee, Cornelis V. M. (i-cagl-mi and Mugelli Francesco (i-frnz-am

Abstract

A characterization theorem for the evolution semigroup generated by the sum of two unbounded operators. (English summary) Math. Methods Appl. Sci. 27 (2004), no. 6, 669–685. Many systems related to Markov processes can be modelled by the abstract Cauchy problem (1) ut = Au + Bu, u(0) = u0, where A and B are unbounded operators in a Banach space X = L1(Ω, dµ), u0 ∈ X, (A, D(A)) generates a positive semigroup of contractions and B is a positive operator on D(A). Moreover, A and B are assumed to satisfy the property (2) (Au + Bu)dµ = 0, 0 ≤ u ∈ D(A)

Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.178.4249
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