Soliton resolution for energy-critical wave maps in the equivariant case

Jacek Jendrej
, 
Andrew Lawrie
Publication type: Journal Article
Publication date: 2024-12-03
American Mathematical Society
scimago Q1
wos Q1
SJR: 7.033
CiteScore: 9.5
Impact factor: 3.2
ISSN: 08940347, 10886834
Abstract

We consider the equivariant wave maps equation R 1 + 2 → S 2 \mathbb {R}^{1+2} \to \mathbb {S}^2 , in all equivariance classes k ∈ N k \in \mathbb {N} . We prove that every finite energy solution resolves, continuously in time, into a superposition of asymptotically decoupling harmonic maps and free radiation.

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Jendrej J., Lawrie A. Soliton resolution for energy-critical wave maps in the equivariant case // Journal of the American Mathematical Society. 2024.
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Jendrej J., Lawrie A. Soliton resolution for energy-critical wave maps in the equivariant case // Journal of the American Mathematical Society. 2024.
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RIS Copy
TY - JOUR
DO - 10.1090/jams/1012
UR - https://www.ams.org/jams/0000-000-00/S0894-0347-2024-01012-X/
TI - Soliton resolution for energy-critical wave maps in the equivariant case
T2 - Journal of the American Mathematical Society
AU - Jendrej, Jacek
AU - Lawrie, Andrew
PY - 2024
DA - 2024/12/03
PB - American Mathematical Society
SN - 0894-0347
SN - 1088-6834
ER -
BibTex
Cite this
BibTex (up to 50 authors) Copy
@article{2024_Jendrej,
author = {Jacek Jendrej and Andrew Lawrie},
title = {Soliton resolution for energy-critical wave maps in the equivariant case},
journal = {Journal of the American Mathematical Society},
year = {2024},
publisher = {American Mathematical Society},
month = {dec},
url = {https://www.ams.org/jams/0000-000-00/S0894-0347-2024-01012-X/},
doi = {10.1090/jams/1012}
}