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Nonlinear Evolution Equations in Banach Spaces.

Authors :
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Crandall,M. G.
Pazy,A.
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Crandall,M. G.
Pazy,A.
Source :
DTIC AND NTIS
Publication Year :
1972

Abstract

The evolution problem 0 belong to du/dt + A(t)u(t), u(s) = x, where the A(t) are nonlinear operators acting in a Banach space, is studied. Evolution operators are constructed from the A(t) under various assumptions. Basic properties of these evolution operators are established and their relationship to the evolution equation is studied. The results obtained extend several known existence theorems and provide generalized solutions of the evolution equation in more general cases. (Author)

Details

Database :
OAIster
Journal :
DTIC AND NTIS
Notes :
text/html, English
Publication Type :
Electronic Resource
Accession number :
edsoai.ocn831513414
Document Type :
Electronic Resource