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On a criterion for log-convex decay in non-selfadjoint dynamics

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  • Jon Johnsen
The short-time and global behaviour are studied for autonomous linear evolution equations defined by generators of uniformly bounded holomorphic semigroups in a Hilbert space. A general criterion for log-convexity in time of the norm of the solution is treated. Strict decrease and differentiability at the initial time results, with a derivative controlled by the lower bound of the negative generator, which is proved strictly accretive with equal numerical and spectral abscissas.
Titel Current Trends in Analysis, its Applications and Computation : Proceedings of the 12th ISAAC Congress, Aveiro, Portugal, 2019
RedaktørerPaula Cerejeiras, Michael Reissig, Irene Sabadini, Joachim Toft
Antal sider11
ForlagBirkhäuser Verlag
StatusUdgivet - 2022
SerietitelTrends in Mathematics

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