On the compactness of the evolution operator generated by certain nonlinear $\Omega$-accretive operators in general Banach spaces
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- by Athanassios G. Kartsatos PDF
- Proc. Amer. Math. Soc. 123 (1995), 2081-2091 Request permission
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
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 2081-2091
- MSC: Primary 47H20; Secondary 34G20, 39B72, 47H06
- DOI: https://doi.org/10.1090/S0002-9939-1995-1307535-6
- MathSciNet review: 1307535