Geodesic
A characterization of evolution operators
Naoki Tanaka1
1 Department of Mathematics Faculty of Science Okayama University Okayama 700-8530, Japan
Studia Mathematica, Tome 146 (2001) no. 3, pp. 285-299

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A class of evolution operators is introduced according to the device of Kato. An evolution operator introduced here provides a classical solution of the linear equation $u'(t)=A(t)u(t)$ for $t\in [0,T]$, in a general Banach space. The paper presents a necessary and sufficient condition for the existence and uniqueness of such an evolution operator.
DOI : 10.4064/sm146-3-5
Keywords: class evolution operators introduced according device kato evolution operator introduced here provides classical solution linear equation t general banach space paper presents necessary sufficient condition existence uniqueness evolution operator

Naoki Tanaka 1

1 Department of Mathematics Faculty of Science Okayama University Okayama 700-8530, Japan 
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Naoki Tanaka. A characterization of evolution operators. Studia Mathematica, Tome 146 (2001) no. 3, pp. 285-299. doi: 10.4064/sm146-3-5

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