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arXiv · 2602.23398

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

Yuchen Yin
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Abstract

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 $D\geq 3$. We prove that every radial solution with finite energy norm resolves into a finite superposition of asymptotically decoupled copies of the ground state and free radiation continuously in time.

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Yuchen Yin. 2026-02-26. Soliton resolution for the energy-critical nonlinear Ginzburg-Landau equation in the radial case. https://arxiv.org/abs/2602.23398

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