Soliton Resolution for the Energy-Critical Nonlinear Wave Equation in the Radial Case
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40818_2023_159_ReferencePDF.pdf
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Author(s)
Jendrej, Jacek
Lawrie, Andrew
Date Issued
October 6, 2023
Publisher
Springer International Publishing
Citation
Annals of PDE. 2023 Oct 06;9(2):18
Version
Author's final manuscript
Abstract
Abstract
We consider the focusing energy-critical nonlinear wave equation for radially symmetric initial data in space dimensions
$$D \ge 4$$
D
≥
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s40818-023-00159-4
