Abstract version of the Cauchy-Kowalewski problem
Open Mathematics (2004)
- Volume: 2, Issue: 3, page 382-387
- ISSN: 2391-5455
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topOleg Zubelevich. "Abstract version of the Cauchy-Kowalewski problem." Open Mathematics 2.3 (2004): 382-387. <http://eudml.org/doc/268741>.
@article{OlegZubelevich2004,
abstract = {We consider an abstract version of the Cauchy-Kowalewski Problem with the right hand side being free from the Lipschitz type conditions and prove the existence theorem.},
author = {Oleg Zubelevich},
journal = {Open Mathematics},
keywords = {35A10},
language = {eng},
number = {3},
pages = {382-387},
title = {Abstract version of the Cauchy-Kowalewski problem},
url = {http://eudml.org/doc/268741},
volume = {2},
year = {2004},
}
TY - JOUR
AU - Oleg Zubelevich
TI - Abstract version of the Cauchy-Kowalewski problem
JO - Open Mathematics
PY - 2004
VL - 2
IS - 3
SP - 382
EP - 387
AB - We consider an abstract version of the Cauchy-Kowalewski Problem with the right hand side being free from the Lipschitz type conditions and prove the existence theorem.
LA - eng
KW - 35A10
UR - http://eudml.org/doc/268741
ER -
References
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- [2] L. Nirenberg: “An abstract form of the nonlinear Cauchy-Kowalewski theorem”,J. Differential Geometry, Vol. 6 (1972), pp. 561–576. Zbl0257.35001
- [3] T. Nishida: “A Note On A Theorem Of Nirenberg”,J. Differential Geometry, Vol. 12, (1977), pp. 629–633. Zbl0368.35007
- [4] L. Ovsjannikov: “Singular operators in Banach scales”,Dokl. Akad. Nauk. SSSR, Vol. 163, (1965), pp. 819–822. (Soviet Math. Dokl, Vol. 6, (1965), pp. 1025–1028).
- [5] M. Safonov: “The abstract Cauchy-Kovalevskaya theorem in a weighted Banach space”,J. Commun. Pure Appl. Math., Vol. 48, (1995), pp. 629–637. Zbl0836.35004
- [6] L. Schwatz:Analyse Mathématique, Hermann, Paris, 1967.
- [7] J. Treves Ovsjannikov: “Theorem and hyperdiferential operators”,Notas Mat., Vol. 46, (1968), mimeographed notes.
- [8] T. Yamanaka: “Note on Kowalevskaja's system of partial differential equations”,Comment. Math. Univ. St. Paul, Vol. 9, (1960), pp. 7–10.
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