4 citations · 4 across the 6 of their papers we have counts for
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Global existence of the -Schrödinger maps in
Ahmed Dughayshim, Armin Schikorra
We study the -Schrödinger map equation \[ \begin{cases} \partial_t u = -u \wedge (-Δ)^s u \quad \text{on } \mathbb{R}^n \times \mathbb{R}\\ u: \mathbb{R}^n \times \mathbb{R} \to…
Non-Regularizing properties of -Laplace systems with antisymmetric potentials in critical Lebesgue spaces
Dorian Martino, Armin Schikorra
For every we construct a bounded discontinuous map solving an -Laplace system with an antisymmetric potential .…
A remark on staircase laminates in restricted sets
Igor Buchowiec, Pholphum Kamthorntaksina, Katarzyna Mazowiecka +2
We slightly extend the convex integration via staircase laminate toolbox recently developed by Kleiner, Müller, Székelyhidi, and Xie. As an example we revisit the proof by Astala-F…
Existence of nontrival -harmonic maps via min-max methods
Dorian Martino, Katarzyna Mazowiecka, Armin Schikorra
For any and any closed manifold with for some , we establish the existence of nontrivial -harmonic maps from…
Local well-posedness for cubic fractional Schrödinger equations with derivatives on the right-hand side
Ahmed Dughayshim, Silvino Reyes Farina, Armin Schikorra
For we investigate well-posedness of the equation \[ \left ( i \partial_t + (-Δ)^{s} \right ) u = \left (|D|^{1-2s} |u|^2 \right)\ |D|^{2s-1} u \] under sma…
On uniqueness for half-wave maps in dimension d >= 3
Eugene Eyeson, Silvino Reyes Farina, Armin Schikorra
Extending an argument by Shatah and Struwe we obtain uniqueness for solutions of the half-wave map equation in dimension in the natural energy class.