Français
Regularity in Besov spaces of parabolic PDEs
Multi angle
Authors : Schneider, Cornelia (Author of the conference)
CIRM (Publisher )
35K55 - Nonlinear parabolic equations
35K65 - Parabolic equations of degenerate type
46E35 - Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
Additional resources :
https://www.cirm-math.fr/RepOrga/2548/Slides/Cornelia_Luminy.pdf
CIRM (Publisher )
Loading the player...
|
Abstract :
This talk is concerned with the regularity of solutions to parabolic evolution equations.
Special attention is paid to the smoothness in the specific scales $\ B^{r}_{\tau,\tau}, \ \frac{1}{\tau}=\frac{r}{d}+\frac{1}{p}\ $ of Besov spaces. The regularity in these spaces determines the approximation order that can be achieved by fully space-time adaptive approximation schemes.
Keywords : parabolic evolution equations; Besov spaces; Kondratiev
MSC Codes : Special attention is paid to the smoothness in the specific scales $\ B^{r}_{\tau,\tau}, \ \frac{1}{\tau}=\frac{r}{d}+\frac{1}{p}\ $ of Besov spaces. The regularity in these spaces determines the approximation order that can be achieved by fully space-time adaptive approximation schemes.
Keywords : parabolic evolution equations; Besov spaces; Kondratiev
35K55 - Nonlinear parabolic equations
35K65 - Parabolic equations of degenerate type
46E35 - Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
Additional resources :
https://www.cirm-math.fr/RepOrga/2548/Slides/Cornelia_Luminy.pdf
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 12/04/2022 Conference Date : 28/03/2022 Subseries : Research talks arXiv category : Analysis of PDEs ; Numerical Analysis Mathematical Area(s) : Analysis and its Applications ; PDE Format : MP4 (.mp4) - HD Video Time : 00:48:38 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2022-03-28_Schneider.mp4 
|
Information on the Event
Event Title : Geometry and analysis on non-compact manifolds / Géométrie et analyse sur les variétés non compactesEvent Organizers : Ammann, Bernd ; Carron, Gilles ; Groe, Nadine ; Nistor, Victor Dates : 28/03/2022 - 01/04/2022 Event Year : 2022 Event URL : https://conferences.cirm-math.fr/2548.html
Citation Data
DOI : 10.24350/CIRM.V.19902603Cite this video as: Schneider, Cornelia (2022). Regularity in Besov spaces of parabolic PDEs. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19902603 URI : http://dx.doi.org/10.24350/CIRM.V.19902603 |
See Also
- [Multi angle] On the mass of asymptotically hyperbolic manifolds and initial data set / Author of the conference Sakovich, Anna.
- [Multi angle] Proper actions of Lie groups and numeric invariants of Dirac operators / Author of the conference Piazza, Paolo.
- [Multi angle] Segal axioms and resolution of Liouville conformal field theory / Author of the conference Guillarmou, Colin.
- [Multi angle] Local index theory for Lorentzian manifolds / Author of the conference Bär, Christian.
Bibliography
- DAHLKE, Stephan et SCHNEIDER, Cornelia. Besov regularity of parabolic and hyperbolic PDEs. Analysis and Applications, 2019, vol. 17, no 02, p. 235-291. - https://arxiv.org/abs/1811.09428
- DAHLKE, Stephan et SCHNEIDER, Cornelia. Regularity in Sobolev and Besov spaces for parabolic problems on domains of polyhedral type. The Journal of Geometric Analysis, 2021, vol. 31, no 12, p. 11741-11779. - https://arxiv.org/abs/2105.12796
- DAHLKE, Stephan et SCHNEIDER, Cornelia. Anisotropic Besov regularity of parabolic PDEs. arXiv preprint arXiv:2112.09485, 2021. - https://arxiv.org/abs/2112.09485
