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| Tatiana Toro - Geometry of measures and applications (Part 3) (en Anglais) | |||
Droits : CC BY-NC-ND 4.0 Auteur(s) : Toro Tatiana, Bastien Fanny 17-06-2015 Description : In the 1920's Besicovitch studied linearly measurable sets in the plane, that is sets with locally finite "length". The basic question he addressed was whether the infinitesimal properties of the "length" of a set E in the plane yield geometric information on E itself. This simple question marks the beginning of the study of the geometry of measures and the associated field known as Geometric Measure Theory (GMT). In this series of lectures we will present some of the main results in the area concerning the regularity of the support of a measure in terms of the behavior of its density or in terms of its tangent structure. We will discuss applications to PDEs, free boundary regularity problem and harmonic analysis. The aim is that the GMT component of the mini-course will be self contained. Mots-clés libres : mathématiques,Grenoble,école d'été,institut fourier,summer school,geometric measure theory,calculus of variation | TECHNIQUE Type : image en mouvement Format : video/x-flv Source(s) : rtmpt://fms2.cerimes.fr:80/vod/institut_fourier/tatiana.toro.geometry.of.measures.and.applications.part.3._22209/toro_ecoleete_17062015_sd.mp4 | ||
Entrepôt d'origine : Canal-u.fr Identifiant : oai:canal-u.fr:22209 Type de ressource : Ressource documentaire | |||
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| Tatiana Toro - Geometry of measures and applications (Part 3) (en Anglais) | |||||||||
Identifiant de la fiche : 22209 Schéma de la métadonnée : LOMv1.0, LOMFRv1.0 Droits : libre de droits, gratuit Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0 Auteur(s) : TORO TATIANA Éditeur(s) : Fanny Bastien 17-06-2015 Description : In the 1920's Besicovitch studied linearly measurable sets in the plane, that is sets with locally finite "length". The basic question he addressed was whether the infinitesimal properties of the "length" of a set E in the plane yield geometric information on E itself. This simple question marks the beginning of the study of the geometry of measures and the associated field known as Geometric Measure Theory (GMT). In this series of lectures we will present some of the main results in the area concerning the regularity of the support of a measure in terms of the behavior of its density or in terms of its tangent structure. We will discuss applications to PDEs, free boundary regularity problem and harmonic analysis. The aim is that the GMT component of the mini-course will be self contained. Mots-clés libres : mathématiques, Grenoble, école d'été, institut fourier, summer school, geometric measure theory, calculus of variation
| PEDAGOGIQUE Type pédagogique : cours / présentation Niveau : doctorat TECHNIQUE Type de contenu : image en mouvement Format : video/x-flv Taille : 3.1 Go Durée d'exécution : 1 heure 25 minutes 33 secondes RELATIONS Cette ressource fait partie de : | ||||||||
Entrepôt d'origine : Canal-u.fr Identifiant : oai:canal-u.fr:22209 Type de ressource : Ressource pédagogique | |||||||||
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