Locally Lipschitz continuous integrated semigroups

Naoki Tanaka. "Locally Lipschitz continuous integrated semigroups." Studia Mathematica 167.1 (2005): 1-16. <http://eudml.org/doc/284663>.

@article{NaokiTanaka2005,
abstract = {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.},
author = {Naoki Tanaka},
journal = {Studia Mathematica},
keywords = {integrated semigroups; ``ill-posed'' Cauchy problem},
language = {eng},
number = {1},
pages = {1-16},
title = {Locally Lipschitz continuous integrated semigroups},
url = {http://eudml.org/doc/284663},
volume = {167},
year = {2005},
}

TY - JOUR
AU - Naoki Tanaka
TI - Locally Lipschitz continuous integrated semigroups
JO - Studia Mathematica
PY - 2005
VL - 167
IS - 1
SP - 1
EP - 16
AB - 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.
LA - eng
KW - integrated semigroups; ``ill-posed'' Cauchy problem
UR - http://eudml.org/doc/284663
ER -