Name: The differentiability of nonlinear semigroups in uniformly convex spaces
Creator: Andrew T. Plant
Keywords: nonlinear contraction semigroups, Semigroups of nonlinear operators, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1981 English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 38, pages 257-268 (issn: 0021-2172, eissn: 1565-8511,

Authors: Andrew T. Plant;

doi: 10.1007/bf02760810

The differentiability of nonlinear semigroups in uniformly convex spaces

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Abstract

LetT(t) be a semigroup on a subset of Banach spaceX. T(t) is generated by a product integral of the resolventJλ of an accretive operatorA. IfX is a Hilbert space, it is known that forx in the domain ofA, ‖Jtx−T(t)x‖=o(t) ast decreases to zero. We show this is true whenX is uniformly convex, and deduce some consequences.

Related Organizations

University of Glasgow
United Kingdom

Keywords

nonlinear contraction semigroups, Semigroups of nonlinear operators

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