2 papers
math.AP2026
Construction of multi-bubble solutions for the energy-critical wave equation in dimension four
Jingyuan Gu, Jacek Jendrej, Lifeng Zhao
For any , we construct a global solution of the energy-critical focusing wave equation in dimension four which blows up in infinite time at prescribed points $z_1,\ldo…
math.AP2024
Soliton resolution for the energy critical damped wave equations in the radial case
Jingyuan Gu, Lifeng Zhao
We consider energy-critical damped wave equation \begin{equation*} \partial_{tt}u-Δu+α\partial_t u=\left|u\right|^{\frac{4}{D-2}}u \end{equation*} with radial initial data in dimen…