Differentiability of weak solutions to an abstract inhomogeneous differential equation
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- by C. C. Travis PDF
- Proc. Amer. Math. Soc. 82 (1981), 425-430 Request permission
Abstract:
A characterization is given of those strongly continuous semigroups $T(t)$ for which the function $\int _0^tT(t - s)f(s)ds$ is continuously differentiable on $t > 0$ for each continuous $f:[0,\infty ) \to X$.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 82 (1981), 425-430
- MSC: Primary 34G10; Secondary 47D05
- DOI: https://doi.org/10.1090/S0002-9939-1981-0612734-2
- MathSciNet review: 612734