𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The abstract cauchy-kovalevskaya theorem in a weighted banach space

✍ Scribed by M. V. Safonov

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
335 KB
Volume
48
Category
Article
ISSN
0010-3640

No coin nor oath required. For personal study only.

✦ Synopsis

A scale of Banach spaces is considered as a single weighted Banach space. A variant of the Cauchy-Kovalevskaya theorem is proved, including the results of Nirenberg and Nishida for the abstract nonlinear Cauchy problem. @ 1995 John Wiley & Sons, Inc.

📜 SIMILAR VOLUMES

Computable analysis of the abstract Cauc
Computable analysis of the abstract Cauchy problem in a Banach space and its applications I
✍ Klaus Weihrauch; Ning Zhong 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 222 KB 👁 1 views

## Abstract We study computability of the abstract linear Cauchy problem equation image where __A__ is a linear operator, possibly unbounded, on a Banach space __X__. We give necessary and sufficient conditions for __A__ such that the solution operator __K__: __x__ ↦ __u__ of the problem (1) is c

The Denjoy–Wolff Theorem in the Open Uni
The Denjoy–Wolff Theorem in the Open Unit Ball of a Strictly Convex Banach Space
✍ Jaroslaw Kapeluszny; Tadeusz Kuczumow; Simeon Reich 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 122 KB

Let X be a complex strictly convex Banach space with an open unit ball B. For each compact, holomorphic and fixed-point-free mapping f: B Ä B there exists ! # B such that the sequence [ f n ] of iterates of f converges locally uniformly on B to the constant map taking the value !.