Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the compactness of the evolution operator generated by certain nonlinear $ \Omega$-accretive operators in general Banach spaces


Author: Athanassios G. Kartsatos
Journal: Proc. Amer. Math. Soc. 123 (1995), 2081-2091
MSC: Primary 47H20; Secondary 34G20, 39B72, 47H06
MathSciNet review: 1307535
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A sufficient condition is given for the compactness of the evolution operator $ U(t,s)$ generated by a family of nonlinear $ \omega $-accretive operators $ A(t)$. This family $ A(t)$ satisfies a time-dependence condition which is not covered by the results of Calvert and the author. It is also shown that the main part of this sufficient condition is necessary.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47H20, 34G20, 39B72, 47H06

Retrieve articles in all journals with MSC: 47H20, 34G20, 39B72, 47H06


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1307535-6
PII: S 0002-9939(1995)1307535-6
Keywords: Compact evolution operator, $ \omega $-accretive operator, compact resolvents, Crandall-Pazy theory
Article copyright: © Copyright 1995 American Mathematical Society