93 citations · 337 across the 42 of their papers we have counts for
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Exotic blowup solutions for the u^5 focusing wave equation in R^3
Roland Donninger, Min Huang, Joachim Krieger +1
For the energy critical focusing wave equation in three dimensions we establish the existence of blowup solutions via an "exotic" dynamical rescaling of the ground state solution W…
Stable blow up dynamics for energy supercritical wave equations
Roland Donninger, Birgit Schörkhuber
We study the semilinear wave equation \[ \partial_t^2 ψ-Δψ=|ψ|^{p-1}ψ\] for with radial data in three spatial dimensions. There exists an explicit solution which blows up a…
Stable self-similar blowup in energy supercritical Yang-Mills theory
Roland Donninger
We consider the Cauchy problem for an energy supercritical nonlinear wave equation that arises in --dimensional Yang--Mills theory. A certain self--similar solution of…
Stable self-similar blow up for energy subcritical wave equations
Roland Donninger, Birgit Schörkhuber
We consider the semilinear wave equation \[ \partial_t^2 ψ-Δψ=|ψ|^{p-1}ψ\] for with radial data in . This equation admits an explicit spatially homogeneous blow…
Nonscattering solutions and blowup at infinity for the critical wave equation
Roland Donninger, Joachim Krieger
We consider the critical focusing wave equation in and prove the existence of energy class solutions which are of the form [u(t,x)=t^\fracμ{2}…