Premium
Asymptotic Behavior of Solutions of Evolution Equations and the Construction of Holomorphic Retractions
Author(s) -
Khatskevich Victor,
Reich Simeon,
Shoikhet David
Publication year - 1998
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19981890111
Subject(s) - holomorphic function , mathematics , banach space , bounded function , identity theorem , pure mathematics , nonlinear system , regular polygon , analyticity of holomorphic functions , infinite dimensional holomorphy , mathematical analysis , banach manifold , geometry , lp space , physics , quantum mechanics
We first study the asymptotic behavior of nonlinear semigroups with holomorphic generators, and then use our results, inter alia, to construct holomorphic retractions onto the fixed point sets of holomorphic self‐mappings of bounded convex domains in a complex Banach space.