Mathematics Colloquia and Seminars
(Non-)Autonomous Cauchy Problems and Product Formula Approximation for PropagatorsMathematical Physics & Probability
|Speaker:||Valentin A. Zagrebnov, Institut de Mathématiques de Marseille (UMR 7373) and Université d'Aix-Marseille, France|
|Start time:||Wed, Feb 24 2016, 4:10PM|
For autonomous Cauchy problem this lecture reviews the Trotter-Kato product formula approximation for strongly continuous and Gibbs semigroups in the operator-norm and the trace-norm topologies, including the rate of convergence in a Hilbert space.
For non-autonomous well-posed Cauchy problems, after review of results about construction of the corresponding strongly continuous evolution families (propagators) via product formula approximations in the strong operator topology, we discuss the operator-norm error-bound for convergence of these approximations in Hilbert and Banach spaces.