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Weakly continuous accretive operators in general Banach spaces

Published online by Cambridge University Press:  17 April 2009

W.E. Fitzgibbon
Affiliation:
Department of MathematicsUniversity of HoustonHouston, Texas 77004United States of America
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Abstract

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Global wellposedness theorems are established for a class of abstract Cauchy initial value problems and a class of abstract Volterra equations which have a linear semigroup as a convolution kernel. These existence theorems are used to show that a class of nonlinear operators and a class of perturbed linear operators are m-accretive. The m-accretiveness results are used in turn to represent solutions to the differential and integral equations.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1990

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