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On the spectral bound of the generator of a $C_{0}$ -semigroup

Yu. Tomilov — 1997

Studia Mathematica

We give several conditions implying that the spectral bound of the generator of a $C_{0}$ -semigroup is negative. Applications to stability theory are considered.

Two-parameter semigroups, evolutions and their applications to Markov and diffusion fields on the plane.

Mishura, Yu.; Tomilov, Yu. — 1996

Journal of Applied Mathematics and Stochastic Analysis

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On the spectral bound of the generator of a C 0 -semigroup

Two-parameter semigroups, evolutions and their applications to Markov and diffusion fields on the plane.

On the spectral bound of the generator of a $C_{0}$ -semigroup