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Initial value problems and extrapolation spaces
Citation Link: https://doi.org/10.15480/882.4177
Publikationstyp
Book Part
Date Issued
2022
Sprache
English
Institut
TORE-DOI
First published in
Number in series
287
Start Page
131
End Page
148
Citation
Operator Theory: Advances and Applications 287: 131-148 (2022)
Publisher DOI
Scopus ID
Publisher
Springer
Up 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.
DDC Class
510: Mathematik
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