Global well-posedness and scattering for Skyrme wave maps

Dan-Andrei Geba; Kenji Nakanishi; Sarada G. Rajeev

doi:10.3934/cpaa.2012.11.1923

Article Contents

2012, Volume 11, Issue 5: 1923-1933. Doi: 10.3934/cpaa.2012.11.1923

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Global well-posedness and scattering for Skyrme wave maps

1.
Department of Mathematics, University of Rochester, Rochester, NY 14627
2.
Department of Mathematics, Kyoto University, Kyoto 606-8502
3.
Department of Physics and Astronomy, Department of Mathematics, University of Rochester, Rochester, NY 14627

Received: May 31, 2011

Revised: August 31, 2011

Published: August 2012

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Abstract

We study equivariant solutions for two models ([13]-[15], [1]) arising in high energy physics, which are generalizations of the wave maps theory (i.e., the classical nonlinear $\sigma$ model) in 3 + 1 dimensions. We prove global existence and scattering for small initial data in critical Sobolev-Besov spaces.

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Mathematics Subject Classification: Primary: 35L70, 81T13.

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References

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