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New spectral bounds for damped systems
Multi angle
Authors : Tretter, Christiane (Author of the conference)
CIRM (Publisher )
34G10 - Linear equations
47A10 - Spectrum and resolvent of linear operators
47A12 - Numerical range, numerical radius
47D06 - One-parameter semigroups and linear evolution equations
76Bxx - Incompressible inviscid fluids
CIRM (Publisher )
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Abstract :
In this talk new enclosures for the spectra of operators associated with second order Cauchy problems are presented for non-selfadjoint damping. Our new results yield much better bounds than the numerical range of these non-selfadjoint operators for both uniformly accretive and sectorial damping.
(joint work with B. Jacob, Carsten Trunk and H. Vogt)
MSC Codes : (joint work with B. Jacob, Carsten Trunk and H. Vogt)
34G10 - Linear equations
47A10 - Spectrum and resolvent of linear operators
47A12 - Numerical range, numerical radius
47D06 - One-parameter semigroups and linear evolution equations
76Bxx - Incompressible inviscid fluids
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 15/06/17 Conference Date : 06/06/17 Subseries : Research talks arXiv category : Spectral Theory ; Mathematical Physics ; Analysis of PDEs ; Functional Analysis Mathematical Area(s) : Analysis and its Applications ; Dynamical Systems & ODE ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:38:21 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-06-06_Tretter.mp4 
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Information on the Event
Event Title : Mathematical aspects of physics with non-self-adjoint operators / Les aspects mathématiques de la physique avec les opérateurs non-auto-adjointsEvent Organizers : Krejcirik, David ; Siegl, Petr Dates : 05/06/17 - 09/06/17 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1596.html
Citation Data
DOI : 10.24350/CIRM.V.19181503Cite this video as: Tretter, Christiane (2017). New spectral bounds for damped systems. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19181503 URI : http://dx.doi.org/10.24350/CIRM.V.19181503 |
See Also
- [Multi angle] Truncated Toeplitz operators / Author of the conference Câmara, Cristina.
- [Multi angle] A new complex spectrum associated to invisibility in waveguides / Author of the conference Bonnet-Ben Dhia, Anne-Sophie.
- [Multi angle] The invariant subspace problem: a concrete operator theory approach / Author of the conference Gallardo-Gutiérrez, Eva A..
- [Post-edited] Spectral theory and semi-classical analysis for the complex Schrödinger operator / Author of the conference Helffer, Bernard.
Bibliography
- Jacob, B., Tretter, C., Trunk, C., & Vogt, H. (2017). Numerical range and quadratic numerical range for damped systems.
