93 citations · 337 across the 42 of their papers we have counts for
4 papers · 2 filters
Hyperboloidal evolution and global dynamics for the focusing cubic wave equation
Annegret Y. Burtscher, Roland Donninger
The focusing cubic wave equation in three spatial dimensions has the explicit solution . We study the stability of the blowup described by this solution as wi…
Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation
Roland Donninger
We establish Strichartz estimates in similarity coordinates for the radial wave equation in three spatial dimensions with a (time-dependent) self-similar potential. As an applicati…
Stable blowup for wave equations in odd space dimensions
Roland Donninger, Birgit Schörkhuber
We consider semilinear wave equations with focusing power nonlinearities in odd space dimensions . We prove that for every there exists an open set…
On the stability of self-similar solutions to nonlinear wave equations
Ovidiu Costin, Roland Donninger, Irfan Glogić +1
We consider an explicit self-similar solution to an energy-supercritical Yang-Mills equation and prove its mode stability. Based on earlier work by one of the authors, we obtain a…