2 citations · 5 across the 6 of their papers we have counts for
7 papers
Stability of global self-similar solutions to the cubic wave equation and the wave maps equation
Akansha Sanwal, Birgit Schörkhuber, David Wallauch
We study the long-time stability of global self-similar solutions to two energy supercritical nonlinear wave equations, namely, the cubic nonlinear wave equation in dimensions…
Existence and stability of discretely self-similar blowup for a wave maps type equation
Irfan Glogić, David Hilditch, David Wallauch
We study finite-time blowup for a nonlinear wave equation for maps from the Minkowski space into the 1-sphere , whose nonlinearity exhibits a null-…
On Strichartz estimates and optimal blowup stability of supercritical wave equations
David Wallauch
We establish Strichartz estimates, including estimates involving spatial derivatives, for radial wave equations with potentials in similarity variables. This is accomplished for al…
Optimal blowup stability for three-dimensional wave maps
Roland Donninger, David Wallauch
We study corotational wave maps from -dimensional Minkowski space into the three-sphere. We establish the asymptotic stability of an explicitly known self-similar wave map u…
Strichartz estimates and Blowup stability for energy critical nonlinear wave equations
David Wallauch
We prove Strichartz estimates in similarity coordinates for the radial wave equation with a self similar potential in dimensions . As an application of these, we establish…
Optimal blowup stability for supercritical wave maps
Roland Donninger, David Wallauch
We study corotational wave maps from -dimensional Minkowski space into the -sphere. We prove the stability of an explicitly known self-similar wave map under perturbation…
Blowup behavior of strongly perturbed wave equations
Roland Donninger, David Wallauch
We study the blowup behavior of a class of strongly perturbed wave equations with a focusing supercritical power nonlinearity in three spatial dimensions. We show that the ODE blow…