A Note on the Asymptotic Behavior of Nonlinear Semigroups and the Range of Accretive Operators.

Abstract

It is known that certain problems in partial differential equations may be interpreted as initial value problems for ordinary differential equations in Banach spaces. When such an evolution equation is governed by an accretive operator, then its solutions give rise to a nonlinear contraction semigroup. In this paper we study certain aspects of the asymptotic behavior of nonlinear semigroups and or resolvents of accretive operators. We also derive new results on their behavior at the origin. It turns out that the behavior of a nonlinear semigroup resembles that of the resolvent of its generator both at infinity and at the origin. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1981
Accession Number
ADA100625

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  • Simeon Reich

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  • University of Wisconsin–Madison

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  • Mathematics

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