57 citations · 196 across the 37 of their papers we have counts for
6 papers · 2 filters
Construction of two-bubble solutions for the energy-critical NLS in dimension 6
Jacek Jendrej, Xuemei Li, Guixiang Xu
We construct pure two-bubble solutions for the energy-critical focusing nonlinear Schrödinger equation in space dimension . They are global in (at least) one time direction…
Nonexistence of blow-up solutions with smooth radiation for energy-critical equivariant wave maps
Jacek Jendrej, Yuchen Yin, Lifeng Zhao
We study -equivariant energy critical wave maps , for any equivariance degree . We prove that the radiation associated with any finite…
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…
Rigidity of the multi-bubble solutions to the energy critical wave equation in dimension five
Jacek Jendrej, Chencheng Zhang, Lifeng Zhao
We study the asymptotic dynamics of multi-bubble solutions to the focusing energy-critical wave equation in five dimensions. Assuming that the solution asymptotically decomposes in…
High-order long-time asymptotics for small solutions to the one-dimensional nonlinear Schrödinger equation
Jacek Jendrej, Tony Salvi
We investigate the global well-posedness and modified scattering for the one-dimensional Schrödinger equation with gauge-invariant polynomial nonlinearity. For small localized init…
Construction of two-bubble solutions for the energy-critical Hartree equation
Jacek Jendrej, Xuemei Li, Guixiang Xu
We construct a pure two-bubble solution for the focusing, energy-critical Hartree equation in space dimension . The constructed solution is spherically symmetric, global…