- From www.coursera.org
Initiation à la théorie des distributions
- Self-paced
- Free Access
- Fee-based Certificate
- 9 Sequences
- Introductive Level
Course details
Syllabus
L'équation de Hopf
Fonctions test
Définition des distributions
Dérivation des distributions
Semaine 3 :
Autres opérations sur les distributions
Formule des sauts en dimension 1
Semaine 4 :
Formule des sauts en dimension >1 et applications
Distributions à support compact
Convolution des distributions par des fonctions régulières
Semaine 5 :
Régularisation des distributions
Convolution des distributions
Distributions tempérées
Semaine 6 :
Transformation de Fourier sur la classe de Schwartz
Transformation de Fourier pour les distributions tempérées
Introduction à l'étude des EDP
Exemples de solutions élémentaires
Détermination de quelques solutions élémentaires
Semaine 8 :
Fonctions harmoniques
Equation de Poisson
Semaine 9 :
Problème de Cauchy au sens des distributions
Exemples d'EDP d'évolution d'ordre 1
Un exemple d'EDP d'évolution d'ordre 2
Prerequisite
Instructors
Prof. François Golse
Professeur à l'Ecole polytechnique
Département de mathématiques
Prof. Yvan Martel
Professeur à l'Ecole polytechnique
Département de mathématiques
Editor
École Polytechnique combines research, teaching and innovation at the highest scientific and technological level in the world to meet the challenges of the 21st century. The leading French engineering school for over 200 years, its training promotes a culture of multidisciplinary scientific excellence, open to a strong humanist tradition.
It was founded in 1794 by the French National Convention under the name École centrale des travaux publics, and militarised in 1804 by Napoleon I. Originally located in Paris, the school has been in Palaiseau (Essonne) since 1976, at the heart of the Paris-Saclay technology cluster. It has the status of a public scientific, cultural and professional establishment (EPSCP-GE), is a military grande école whose engineering course is supervised by the Ministry of the Armed Forces and is a founding member of the Paris Polytechnic Institute.
Platform
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