Roland Donninger

A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta

Prices Law states that linear perturbations of a Schwarzschild black hole fall off as

Stable Blow Up Dynamics For Energy Supercritical Wave Equations

t^{-2ell-3}

Nonscattering solutions and blowup at infinity for the critical wave equation

for

On Stable Self-Similar Blow up for Equivariant Wave Maps: The Linearized Problem

t to infty

Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation

provided the initial data decay sufficiently fast at spatial infinity. Moreover, if the perturbations are initially static (i.e., their time derivative is zero), then the decay is predicted to be

Decay Estimates for the One-dimensional Wave Equation with an Inverse Power Potential

t^{-2ell-4}

A vector field method on the distorted Fourier side and decay for wave equations with potentials

. We give a proof of

The radial wave operator in similarity coordinates

t^{-2ell-2}

On the mode stability of a self-similar wave map

decay for general data in the form of weighted

Semiclassical Low Energy Scattering for One-Dimensional Schrödinger Operators with Exponentially Decaying Potentials

L^1