Wellposedness of hyperbolic evolution equations in Banach spaces
This paper has been withdrawn by the authors, because of a crucial gap in the proof of the main theorem.
math-ph↗
arXiv subjects
Tobias Schlegelmilch
Publications and source records attributed to Tobias Schlegelmilch.
Local Scattering Operators for P(ϕ)_2 Models and the Time-dependent Schrödinger Equation
We establish the existence of Bogoliubov's local scattering operators for P(ϕ)_2 models of constructive quantum field theory in a nonperturbative way. To this end, we use the technique of evolution semigroups to prove a new result on wellposedness of the Cauchy problem for the time-dependent Schrödinger equation under very general assumptions.
math-ph↗