175 citations · 729 across the 112 of their papers we have counts for
4 papers · 2 filters
Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary
Ali Hyder, Antonio Segatti, Yannick Sire +1
We introduce a heat flow associated to half-harmonic maps, which have been introduced by Da Lio and Rivière. Those maps exhibit integrability by compensation in one space dimension…
Remarks on the Bernstein inequality for higher order operators and related results
Dong Li, Yannick Sire
This note is devoted to several results about frequency localized functions and associated Bernstein inequalities for higher order operators. In particular, we construct some count…
Reversed Strichartz estimates for wave on non-trapping asymptotically hyperbolic manifolds and applications
Yannick Sire, Christopher D. Sogge, Chengbo Wang +1
We provide reversed Strichartz estimates for the shifted wave equations on non-trapping asymptotically hyperbolic manifolds using cluster estimates for spectral projectors proved p…
Schauder estimates up to the boundary on H-type groups: an approach via the double layer potential
Giovanna Citti, Gianmarco Giovannardi, Yannick Sire
We establish the Schauder estimates at the boundary away from the characteristic points for the Dirichlet problem by means of the double layer potential in a Heisenberg-type group…