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Evolution Generated by continuous Dissipative Plus Compact Operators

Evolution Generated by continuous Dissipative Plus Compact Operators Let B and C be continuous nonlinear operators in a Banach space. Assume that B satisfies a dissipativeness condition, and that the range of C is relatively compact. Some sufficient conditions are given for the existence of solutions of the equation u′(t) = B(t, u(t)) + C(t, u(t)). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Evolution Generated by continuous Dissipative Plus Compact Operators

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Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/13.4.303
Publisher site
See Article on Publisher Site

Abstract

Let B and C be continuous nonlinear operators in a Banach space. Assume that B satisfies a dissipativeness condition, and that the range of C is relatively compact. Some sufficient conditions are given for the existence of solutions of the equation u′(t) = B(t, u(t)) + C(t, u(t)).

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Jul 1, 1981

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