10.6k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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4 papers · 2 filters
Universality of blow up profile for small blow up solutions to the energy critical wave map equation
Thomas Duyckaerts, Hao Jia, Carlos Kenig +1
In this paper we introduce the channel of energy argument to the study of energy critical wave maps into the sphere. More precisely, we prove a channel of energy type inequality fo…
Geometric control condition for the wave equation with a time-dependent observation domain
Jérôme Le Rousseau, Gilles Lebeau, Peppino Terpolilli +1
We characterize the observability property (and, by duality, the controllability and the stabilization) of the wave equation on a Riemannian manifold with or without boundary,…
Carleman estimates for elliptic operators with complex coefficients Part II: transmission problems
Mourad Bellassoued, Jérôme Le Rousseau
We consider elliptic transmission problems with complex coefficients across an interface. Under proper transmission conditions, that extend known conditions for well-posedness, and…
On the asymptotic limit of the three dimensional Vlasov-Poisson system for large magnetic field : formal derivation
Pierre Degond, Francis Filbet
This paper establishes the long time asymptotic limit of the three dimensional Vlasov-Poisson equation with strong external magnetic field. The guiding center approximation is inve…