Soliton resolution for the energy-critical nonlinear Ginzburg-Landau equation in the radial case

Yuchen Yin

We study the the energy critical non-linear Ginzburg-Landau equation ${\partial }_{t}u=z\Delta u+z|u{|}^{\frac{4}{D-2}}u$ with $\Re z>0$ in dimension $D\ge 3$. We prove that every radial…