Analyse des problèmes conformément invariants

Laurain, Paul

Séminaire Laurent Schwartz — EDP et applications (2016-2017), Exposé no. 12, 26 p.

Cet exposé constitue une revue d’une technique développée avec T. Rivière pour prouver des identités d’énergie pour les limites de suites de solutions de problèmes conformément invariants. Le point de départ est [34] où l’on prouve de telles identités pour tous les problèmes conformément invariants en dimension $2$. Contrairement aux résultats existants, la preuve repose exclusivement sur l’invariance conforme. Elle a pu être transposée à beaucoup de problèmes ouverts en dimension supérieure, d’ordre supérieur ou encore à bord libre.

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