Moment sequences and abstract Cauchy problems
Commentationes Mathematicae Universitatis Carolinae (2003)
- Volume: 44, Issue: 1, page 121-135
- ISSN: 0010-2628
Access Full Article
top
Abstract
topHow to cite
topMüller, Claus. "Moment sequences and abstract Cauchy problems." Commentationes Mathematicae Universitatis Carolinae 44.1 (2003): 121-135. <http://eudml.org/doc/249181>.
@article{Müller2003,
abstract = {We give a new characterization of the solvability of an abstract Cauchy problems in terms of moment sequences, using the resolvent operator at only one point.},
author = {Müller, Claus},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {abstract Cauchy problems; moment sequences; abstract Cauchy problems; moment sequences},
language = {eng},
number = {1},
pages = {121-135},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Moment sequences and abstract Cauchy problems},
url = {http://eudml.org/doc/249181},
volume = {44},
year = {2003},
}
TY - JOUR
AU - Müller, Claus
TI - Moment sequences and abstract Cauchy problems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 1
SP - 121
EP - 135
AB - We give a new characterization of the solvability of an abstract Cauchy problems in terms of moment sequences, using the resolvent operator at only one point.
LA - eng
KW - abstract Cauchy problems; moment sequences; abstract Cauchy problems; moment sequences
UR - http://eudml.org/doc/249181
ER -
References
top- Arendt W., Vector-valued Laplace transforms and Cauchy Problems, Israel J. Math. 59 (1987), 327-352. (1987) Zbl0637.44001MR0920499
- Arendt W., Batty C.J.K., Hieber M., Neubrander F., Vector Valued Laplace Transforms and Cauchy Problems, Birkhäuser, Basel, 2001. Zbl0978.34001MR1886588
- Arendt W., El-Mennaoui O., Keyantuo V., Local integrated semigroups: Evolution with jumps of regularity, J. Math. Anal. Appl. 186 (1994), 572-595. (1994) Zbl0833.47034MR1293012
- Cioranescu I., Local convoluted semigroups, Lecture Notes in Pure and Applied Math., No. 168, Marcel Dekker, N.Y., 1995, pp.107-122. Zbl0818.47038MR1300422
- Cioranescu I., Lumer G., Problèmes d’évolution régularisés par un noyau général . Formule de Duhamel, prolongements, théorèmes de génération, C.R. Acad. Sci. Paris, t. 319, Série I, 1994, 1273-1278. Zbl0821.47032MR1310670
- Cioranescu I., Lumer G., On -convoluted semigroups, Pitman Research Notes in Mathematics 324, (1995), 86-93. Zbl0828.34046MR1417060
- Diestel J., Uhl J.J., Vector Measures, Amer. Math. Soc., Providence, 1977. Zbl0521.46035MR0453964
- Hieber M., Integrated semigroups and differential operators on spaces, Math. Ann. 291 (1991), 1-16. (1991) MR1125004
- Müller C., Charakterisierung von Momentenfolgen in Banachräumen, Thesis of Diploma, Kaiserslautern, 1996.
- Neubrander F., Bäumer B., Laplace transformmethods for evolution equations, Conference del Seminario di Mathematica dell' Universitá di Bari 259 (1994), 27-60. MR1385478
- Phillips R.S., An inversion formula for Laplace transforms and semigroups of linear operators, Ann. Math. 59 (1954), 325-356. (1954) MR0060730
- Vieten P., Holomorphie und Laplace Transformation Banachraumwertiger Funktionen, PhD thesis, Shaker, Aachen, 1995.
- Widder D.V., The Laplace Transform, Princeton University Press, Princeton, 1972. Zbl0139.29504MR0005923
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.