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14 papers · 2 filters
Fundamental solutions for parabolic equations and systems: universal existence, uniqueness, representation
Pascal Auscher, Khalid Baadi
In this paper, we develop a universal, conceptually simple and systematic method to prove well-posedness to Cauchy problems for weak solutions of parabolic equations with non-smoot…
Cancellation conditions and boundedness of Inhomogeneous Calderón-Zygmund operators on local Hardy spaces associate with spaces of homogeneous type
Joel Coacalle, Tiago Picon, Claudio Vasconcelos
In this work, we present sufficient cancellation conditions for the boundedness of inhomogeneous Calderón-Zygmund type operators on local Hardy spaces defined over spaces of homoge…
Bifurcating solitonic vortices in a strip
Amandine Aftalion, Philippe Gravejat, Etienne Sandier
The specific geometry of a strip provides connections between solitons and solitonic vortices, which are vortices with a solitonic behaviour in the infinite direction of the strip.…
Gluing methods for quantitative stability of optimal transport maps
Cyril Letrouit, Quentin Mérigot
We establish quantitative stability bounds for the quadratic optimal transport map between a fixed probability density and a probability measure on . Un…
The Benjamin-Ono equation in the zero-dispersion limit for rational initial data: generation of dispersive shock waves
Elliot Blackstone, Louise Gassot, Patrick Gérard +1
The leading-order asymptotic behavior of the solution of the Cauchy initial-value problem for the Benjamin-Ono equation in is obtained explicitly for generic rati…
Primitives of volume forms in Carnot groups
Annalisa Baldi, Bruno Franchi, Pierre Pansu
In the Euclidean space it is known that a function of a ball, with vanishing average,is the divergence of a vector field with$$\| F\|\_{ L^2(B)} \le C \|f\|\_…