Strong solutions of evolution equations governed by $m$-accretive operators and the Radon-Nikodým property
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- by Robert Deville PDF
- Proc. Amer. Math. Soc. 112 (1991), 1001-1008 Request permission
Abstract:
We construct, in every Banach space which fails the Radon-Nikodym property, a nonlinear operator $A$ which is $m$-accretive for some equivalent norm in $X$, such that the domain of $A$ is not a singleton and such that the only strong solutions of the equation $u’ + Au \backepsilon f$ are the constant ones.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 112 (1991), 1001-1008
- MSC: Primary 47H15; Secondary 34G20, 47H06, 47H20
- DOI: https://doi.org/10.1090/S0002-9939-1991-1045133-9
- MathSciNet review: 1045133