3 papers
math.AP2026
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…
math.AP2025
Existence and stability of discretely self-similar blowup for a wave maps type equation
Irfan GlogiÄ, 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-…
math.AP2024
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…