| dc.contributor.author | Jendrej, Jacek | |
| dc.contributor.author | Lawrie, Andrew | |
| dc.date.accessioned | 2023-10-10T18:51:11Z | |
| dc.date.available | 2023-10-10T18:51:11Z | |
| dc.date.issued | 2023-10-06 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/152404 | |
| dc.description.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. | en_US |
| dc.publisher | Springer International Publishing | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s40818-023-00159-4 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | Springer International Publishing | en_US |
| dc.title | Soliton Resolution for the Energy-Critical Nonlinear Wave Equation in the Radial Case | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Annals of PDE. 2023 Oct 06;9(2):18 | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2023-10-07T03:14:03Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | The Author(s), under exclusive licence to Springer Nature Switzerland AG | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2023-10-07T03:14:03Z | |
| mit.license | OPEN_ACCESS_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | en_US |
