• Corpus ID: 225062357

Continuous time soliton resolution for two-bubble equivariant wave maps.

@article{Jendrej2020ContinuousTS,
title={Continuous time soliton resolution for two-bubble equivariant wave maps.},
author={Jacek Jendrej and Andrew Lawrie},
journal={arXiv: Analysis of PDEs},
year={2020}
}
• Published 23 October 2020
• Mathematics
• arXiv: Analysis of PDEs
We consider the energy-critical wave maps equation from 1+2 dimensional Minkowski space into the 2-sphere, in the equivariant case. We prove that if a wave map decomposes, along a sequence of times, into a superposition of at most two rescaled harmonic maps (bubbles) and radiation, then such a decomposition holds for continuous time. If the equivariance degree equals one or two, we deduce, as a consequence of sequential soliton resolution results of Cote, and Jia and Kenig, that any…
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