تسجيل فيديو
Andras Vasy - Microlocal analysis and wave propagation (Part 2) ; Andras Vasy - Microlocal analysis and wave propagation (Part 2) : Summer School 2014 - Asymptotic analysis in general relativity ; : École d’été 2014 - Analyse asymptotique en relativité générale
| العنوان: | Andras Vasy - Microlocal analysis and wave propagation (Part 2) ; Andras Vasy - Microlocal analysis and wave propagation (Part 2) : Summer School 2014 - Asymptotic analysis in general relativity ; : École d’été 2014 - Analyse asymptotique en relativité générale |
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| المؤلفون: | Vasy, Andras, Bastien, Fanny |
| المساهمون: | Stanford University, Institut Fourier (IF ), Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 ) |
| المصدر: | https://hal.science/medihal-01318606Test ; 2014. |
| بيانات النشر: | HAL CCSD |
| سنة النشر: | 2014 |
| المجموعة: | Université Grenoble Alpes: HAL |
| مصطلحات موضوعية: | summer school 2014, asymptotic analysis, general relativity, micro local analysis, wave propagation, eem2014, école d’été 2014, grenoble, analyse asymptotique, relativité générale, [MATH]Mathematics [math] |
| الوصف: | In these lectures I will explain the basics of microlocal analysis, emphasizing non-elliptic problems, such as wave propagation, both on manifolds without boundary, and on manifolds with boundary. In the latter case there is no « standard » algebra of differential, or pseudodifferential, operators; I will discuss two important frameworks: Melrose's totally characteristic, or b‐, operators andscattering operators. Apart from the algebraic and mapping properties, I will discuss microlocal ellipticity, real principal type propagation, radial points and generalizations, as well as normally hyperbolic trapping. The applications discussed will include Fredholm frameworks (which are thus global even for non‐elliptic problems!) for the Laplacian on asymptotically hyperbolic spaces and the wave operator on asymptotically de Sitter spaces, scattering theory for « scattering metrics » (such as the « large ends » of cones), wave propagation on asymptotically Minkowski spaces and generalizations (« Lorentzian scattering metrics ») and on Kerr‐de Sitter‐type spaces. The lectures concentrate on linear PDE, but time permitting I will briefly discuss nonlinear versions. The lecture by the speaker in the final workshop will use these results to solve quasilinear wave equations globally, including describing the asymptotic behavior of solutions, on Kerr‐de Sitter spaces. |
| نوع الوثيقة: | moving image (video) |
| اللغة: | English |
| العلاقة: | medihal-01318606; https://hal.science/medihal-01318606Test; https://hal.science/medihal-01318606/documentTest; https://hal.science/medihal-01318606/file/vasy2.mp4Test |
| الإتاحة: | https://hal.science/medihal-01318606Test https://hal.science/medihal-01318606/documentTest https://hal.science/medihal-01318606/file/vasy2.mp4Test |
| حقوق: | http://creativecommons.org/licenses/by-nc-ndTest/ ; info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.9099957 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |