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arXiv · 2103.01293

Soliton resolution for critical co-rotational wave maps and radial cubic wave equation

Thomas Duyckaerts·Carlos Kenig·Yvan Martel·Frank Merle
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Abstract

In this paper we prove the soliton resolution conjecture for all times, for all solutions in the energy space, of the co-rotational wave map equation. To our knowledge this is the first such result for all initial data in the energy space for a wave-type equation. We also prove the corresponding results for radial solutions, which remain bounded in the energy norm, of the cubic (energy-critical) nonlinear wave equation in space dimension 4.

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Thomas Duyckaerts, Carlos Kenig, Yvan Martel, Frank Merle. 2021-03-01. Soliton resolution for critical co-rotational wave maps and radial cubic wave equation. https://doi.org/10.1007/s00220-022-04330-z

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