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Regularity of wave-maps in dimension \(2+1\). (English) Zbl 1218.35057

There is an investigation on large data wave-maps in \(2+1\) dimensions. Questions of finite time regularity for wave-maps as well as scattering for large data wave-maps are considered. Similar results, but under a stronger energy dispersion assumption, have been proved by the authors in a previous article [J. Sterbenz, D. Tataru, Commun. Math. Phys. 298, No. 1, 139–230 (2010; Zbl 1218.35129)].

MSC:

35B65 Smoothness and regularity of solutions to PDEs
35L05 Wave equation
35P25 Scattering theory for PDEs

Citations:

Zbl 1218.35129
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