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.
Originalsprog
Engelsk
Titel
Current Trends in Analysis, its Applications and Computation : Proceedings of the 12th ISAAC Congress, Aveiro, Portugal, 2019
Redaktører
Paula Cerejeiras, Michael Reissig, Irene Sabadini, Joachim Toft
