Geodesic
Locally Lipschitz continuous integrated semigroups
Naoki Tanaka1
1 Department of Mathematics Faculty of Science Okayama University Okayama 700-8530, Japan
Studia Mathematica, Tome 167 (2005) no. 1, pp. 1-16

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This paper is concerned with the problem of real characterization of locally Lipschitz continuous $(n+1)$-times integrated semigroups, where $n$ is a nonnegative integer. It is shown that a linear operator is the generator of such an integrated semigroup if and only if it is closed, its resolvent set contains all sufficiently large real numbers, and a stability condition in the spirit of the finite difference approximation theory is satisfied.
DOI : 10.4064/sm167-1-1
Keywords: paper concerned problem real characterization locally lipschitz continuous times integrated semigroups where nonnegative integer shown linear operator generator integrated semigroup only closed its resolvent set contains sufficiently large real numbers stability condition spirit finite difference approximation theory satisfied

Naoki Tanaka 1

1 Department of Mathematics Faculty of Science Okayama University Okayama 700-8530, Japan 
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Naoki Tanaka. Locally Lipschitz continuous integrated semigroups. Studia Mathematica, Tome 167 (2005) no. 1, pp. 1-16. doi: 10.4064/sm167-1-1

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