Compactness of the solution operator for a linear evolution equation with distributed measures
نویسندگان
چکیده
منابع مشابه
Compactness of the Solution Operator for a Linear Evolution Equation with Distributed Measures
The main goal of the present paper is to define the solution operator (ξ, g) 7→ u associated to the evolution equation du = (Au)dt + dg, u(0) = ξ, where A generates a C0-semigroup in a Banach space X, ξ ∈ X, g ∈ BV ([ a, b ];X), and to study its main properties, such as regularity, compactness, and continuity. Some necessary and/or sufficient conditions for the compactness of the solution opera...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2002
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-02-02997-5