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The abstract cauchy‐kovalevskaya theorem in a weighted banach space
Author(s) -
Safonov M. V.
Publication year - 1995
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160480604
Subject(s) - mathematics , banach space , cauchy distribution , eberlein–šmulian theorem , pure mathematics , space (punctuation) , nonlinear system , fréchet space , interpolation space , mathematical analysis , lp space , functional analysis , physics , quantum mechanics , linguistics , philosophy , biochemistry , chemistry , gene
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.