7 citations · 8 across the 5 of their papers we have counts for
6 papers
Distributional Fractional Gradients and a Bourgain-Brezis-type Estimate
Jerome Wettstein
In this paper, we extend the definition of fractional gradients found in Mazowiecka-Schikorra to tempered distributions on , introduce associated regularisation procedures an…
Half-Harmonic Gradient Flow: Aspects of a Non-Local Geometric PDE
Jerome Wettstein
The goal of this paper is to discuss some of the results in [31] and [32] and expand upon the work there by proving a global weak existence result as well as a first bubbling analy…
Existence, Uniqueness and Regularity of the Fractional Harmonic Gradient Flow in General Target Manifolds
Jerome Wettstein
In this paper, we continue to study the fractional harmonic gradient flow on taking values in a general closed manifold , addressing global existe…
Integrability by compensation for Dirac Equation
Francesca Da Lio, Tristan Rivière, Jerome Wettstein
We consider the Dirac Operator acting on the Clifford Algebra . We show that under critical assumptions on the potential and the spinor field the equation is subject t…
Uniqueness and Regularity of the Fractional Harmonic Gradient Flow in
Jerome Wettstein
In this paper, we study the fractional harmonic gradient flow on taking values in for every , in particular addressing uniqueness and…
Bergman-Bourgain-Brezis-type Inequality
Francesca Da Lio, Tristan Rivière, Jerome Wettstein
In this note, we prove a fractional version in -D of the Bourgain-Brezis inequality \cite{bourgain1}. We show that such an inequality is equivalent to the fact that a holomorphi…