93 citations · 337 across the 42 of their papers we have counts for
54 papers
Future stability of large-data wave maps in energy-supercritical dimensions
Andras Bonk, Roland Donninger
We consider energy-supercritical co-rotational wave maps from Minkowski spacetime to the sphere in odd spatial dimensions. The equation admits an explicit co-rotational self-simila…
Blowup stability of wave maps without symmetry
Roland Donninger, Frederick Moscatelli
We study wave maps from -dimensional Minkowski space into the -sphere without any symmetry assumptions. There exists an explicit self-similar blowup solution and we prove…
Mode stability of self-similar wave maps without symmetry in higher dimensions
Roland Donninger, Frederick Moscatelli
We consider wave maps from -dimensional Minkowski space into the -sphere. For every , there exists an explicit self-similar solution that exhibits finite time b…
Self-similar blowup for mass supercritical Schrödinger equations
Roland Donninger, Lorenz Lichtnecker
We consider the focusing nonlinear Schrödinger equation in three spatial dimensions with powers close to three and prove the existence of a self-similar solution. This generalizes…
Stable blowup for supercritical wave maps into perturbed spheres
Roland Donninger, Birgit Schörkhuber, Alexander Wittenstein
We consider wave maps from -dimensional Minkowski space, , into rotationally symmetric manifolds which arise from small perturbations of the sphere . We…
Mode stability of blow-up for wave maps in the absence of symmetry
Max Weissenbacher, Herbert Koch, Roland Donninger
The wave maps equation in three spatial dimensions with a spherical target admits an explicit blow-up solution. Numerical studies suggest this solution captures the generic blow-up…