On the abstract Cauchy problem in Fréchet spaces
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- by Hernán R. Henríquez and Eduardo A. Hernández PDF
- Proc. Amer. Math. Soc. 115 (1992), 353-360 Request permission
Abstract:
Let $A$ be a linear operator in a Fréchet space $X$ with the resolvent defined for all $\lambda > 0$. In this note we prove that both the first and the second order abstract Cauchy problems associated to $A$ are well posed on certain maximal subspaces of $X$. Our results extend those of Kantorovitz [5] and Cioranescu [2].References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 353-360
- MSC: Primary 47D03; Secondary 34G10, 47D06, 47D09
- DOI: https://doi.org/10.1090/S0002-9939-1992-1081092-1
- MathSciNet review: 1081092