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22 papers · 2 filters
Hausdorff dimension of removable sets for elliptic and canceling homogeneous differential operators in the class of bounded functions
Victor Biliatto, Laurent Moonens, Tiago Picon
In this note we give an upper bound on the Hausdorff dimension of removable setsfor elliptic and canceling homogeneous differential operators with constant coefficients in the clas…
Uniform concentration property for Griffith almost-minimizers
Camille Labourie, Antoine Lememant
We prove that a Hausdorff limit of Griffith almost-minimizers remains a Griffith almost-minimizer. For this purpose, we introduce a new approach to the uniform concentration proper…
Uniqueness, regularity and characteristic flow for a non strictly convex singular variational problem
Jean-Francois Babadjian, Gilles Francfort
This work addresses the question of uniqueness and regularity of the minimizers of a convex but not strictly convex integral functional with linear growth in a two-dimensional sett…
Piecewise rank-one approximation of vector fields with measure derivatives
Jean-Francois Babadjian, Flaviana Iurlano
This work adresses the question of density of piecewise constant (resp. rigid) functions in the space of vector valued functions with bounded variation (resp. deformation) with res…
Impact of Yves Meyer's work on Kato's conjecture
Pascal Auscher
We discuss how the works of Yves Meyer, together with Raphy Coifman, on Calder{ó}n's program and singular integrals with minimal smoothness in the seventies, paved the way not only…
On well-posedness and maximal regularity for parabolic Cauchy problems on weighted tent spaces
Pascal Auscher, Hedong Hou
We prove well-posedness in weighted tent spaces of weak solutions to the Cauchy problem , where the source also lies in (dif…