Regularity in Besov spaces of parabolic PDEs | Vidéo | Carmin.tv

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Regularity in Besov spaces of parabolic PDEs

By Cornelia Schneider

Appears in collection : Geometry and analysis on non-compact manifolds / Géométrie et analyse sur les variétés non compactes

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.

Information about the video

Date of recording 28/03/2022
Date of publication 12/04/2022
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19902603
Cite this video Schneider, Cornelia (28/03/2022). Regularity in Besov spaces of parabolic PDEs. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19902603
URL https://dx.doi.org/10.24350/CIRM.V.19902603

Domain(s)

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

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2548/Slides/Cornelia_Luminy.pdf

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