Seifert, ChristianChristianSeifertTrostorff, SaschaSaschaTrostorffWaurick, MarcusMarcusWaurick2022-02-242022-02-242022Operator Theory: Advances and Applications 287: 131-148 (2022)http://hdl.handle.net/11420/11751Up until now we have dealt with evolutionary equations of the form (∂t,νM(∂t,ν)+A¯)U=F (∂ t,ν M(∂ t,ν )+A)U=F for some given F∈ L2,ν(ℝ; H) for some Hilbert space H, a skew-selfadjoint operator A in H and a material law M defined on a suitable half-plane satisfying an appropriate positive definiteness condition with ν∈ ℝ chosen suitably large. Under these conditions, we established that the solution operator,, is eventually independent of ν and causal; that is, if F = 0 on (− ∞, a] for some a∈ ℝ, then so too is U.enhttps://creativecommons.org/licenses/by/4.0/MathematikInitial value problems and extrapolation spacesBook Part10.15480/882.417710.1007/978-3-030-89397-2_910.15480/882.4177Book Chapter