Please use this identifier to cite or link to this item:
https://doi.org/10.15480/882.4177
Publisher DOI: | 10.1007/978-3-030-89397-2_9 | Title: | Initial value problems and extrapolation spaces | Language: | English | Authors: | Seifert, Christian ![]() Trostorff, Sascha Waurick, Marcus |
Issue Date: | 28-Sep-2021 | Publisher: | Springer | Source: | Operator Theory: Advances and Applications 287: 131-148 (2022-01-01) | Abstract (english): | 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. |
URI: | http://hdl.handle.net/11420/11751 | DOI: | 10.15480/882.4177 | ISBN: | 978-3-030-89397-2 978-3-030-89396-5 |
Institute: | Mathematik E-10 | Document Type: | Chapter (Book) | License: | ![]() |
Part of Series: | Operator theory | Volume number: | 287 |
Appears in Collections: | Publications with fulltext |
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Seifert2022_Chapter_InitialValueProblemsAndExtrapo.pdf | Verlags-PDF | 328,15 kB | Adobe PDF | View/Open![]() |
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