Joachim Krieger

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Semi-global controllability of a geometric wave equation

Joachim Krieger, Shengquan Xiang

We prove the semi-global controllability and stabilization of the

(1+1)-

dimensional wave maps equation with spatial domain 𝕊1 and target

𝕊k

. First we show that damping stabilizes the system when t

2022

A stability theory beyond the co-rotational setting for critical wave maps blow up

Joachim Krieger, Shuang Miao

We exhibit non-equivariant perturbations of the blowup solutions constructed in [18] for energy critical wave maps into

\mathbb{S}^2

. Our admissible class of perturbations is an open set in some suf

2020

Joachim Krieger

Semi-global controllability of a geometric wave equation

On the stability of blowup solutions for the critical corotational wave-map problem

A stability theory beyond the co-rotational setting for critical wave maps blow up

Semi-global controllability of a geometric wave equation

On the stability of blowup solutions for the critical corotational wave-map problem

A stability theory beyond the co-rotational setting for critical wave maps blow up