A faithful Hille-Yosida theorem for finite-dimensional evolutions
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- by M. A. Freedman PDF
- Trans. Amer. Math. Soc. 265 (1981), 563-573 Request permission
Abstract:
As a natural generalization of the classical Hille-Yosida theorem to evolution operators, necessary and sufficient conditions are found for an evolution $U$ acting in ${R^N}$ so that for each $s \geqslant t$, $U(s,t)$ can be uniquely represented as a product integral $\prod _t^s{[I + V]^{ - 1}}$ for some additive, accretive generator $V$. Under these conditions, we further show that $U(\xi ,\zeta )$ is differentiable a.e.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 265 (1981), 563-573
- MSC: Primary 47D05; Secondary 47D99
- DOI: https://doi.org/10.1090/S0002-9947-1981-0610966-5
- MathSciNet review: 610966