Soliton resolution for the energy-critical nonlinear wave equation in the radial case - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Annals of PDE Année : 2023

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

Résumé

We consider the focusing energy-critical nonlinear wave equation for radially symmetric initial data in space dimensions $D \ge 4$. This equation has a unique (up to sign and scale) nontrivial, finite energy stationary solution $W$, called the ground state. We prove that every finite energy solution with bounded energy norm resolves, continuously in time, into a finite superposition of asymptotically decoupled copies of the ground state and free radiation.

Dates et versions

hal-03852322 , version 1 (14-11-2022)

Identifiants

Citer

Jacek Jendrej, Andrew Lawrie. Soliton resolution for the energy-critical nonlinear wave equation in the radial case. Annals of PDE, 2023, 9 (2), pp.18. ⟨10.1007/s40818-023-00159-4⟩. ⟨hal-03852322⟩
36 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More