93 citations · 337 across the 42 of their papers we have counts for
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Stable blowup for the cubic wave equation in higher dimensions
Athanasios Chatzikaleas, Roland Donninger
We consider the wave equation with a focusing cubic nonlinearity in higher odd space dimensions without symmetry restrictions on the data. We prove that there exists an open set of…
Hyperboloidal similarity coordinates and a globally stable blowup profile for supercritical wave maps
Paweł Biernat, Roland Donninger, Birgit Schörkhuber
We consider co-rotational wave maps from (1+3)-dimensional Minkowski space into the three-sphere. This model exhibits an explicit blowup solution and we prove the asymptotic nonlin…
On the existence and stability of blowup for wave maps into a negatively curved target
Roland Donninger, Irfan Glogić
We consider wave maps on -dimensional Minkowski space. For each dimension we construct a negatively curved, -dimensional target manifold that allows for the exi…
On blowup of co-rotational wave maps in odd space dimensions
Athanasios Chatzikaleas, Roland Donninger, Irfan Glogić
We consider co-rotational wave maps from the -dimensional Minkowski space into the -sphere for odd. This is an energy-supercritical model which is known to exhi…