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

Kartsatos, Athanassios G.

doi:10.1090/S0002-9939-1995-1307535-6

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

Proc. Amer. Math. Soc. 123 (1995), 2081-2091

DOI: https://doi.org/10.1090/S0002-9939-1995-1307535-6

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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.

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