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(1+2)-Dimensional Radially Symmetric Wave Maps Revisit

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Abstract

The author gives an alternative and simple proof of the global existence of smooth solutions to the Cauchy problem for wave maps from the (1+2)-dimensional Minkowski space to an arbitrary compact smooth Riemannian manifold without boundary, for arbitrary smooth, radially symmetric data. The author can also treat non-compact manifold under some additional assumptions which generalize the existing ones.

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Author information

Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Yi Zhou

Authors
  1. Yi Zhou
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Correspondence to Yi Zhou.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 12171097), the Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University), Ministry of Education of China, Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, and Shanghai Science and Technology Program (No. 21JC1400600).

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Zhou, Y. (1+2)-Dimensional Radially Symmetric Wave Maps Revisit. Chin. Ann. Math. Ser. B 43, 785–796 (2022). https://doi.org/10.1007/s11401-022-0358-x

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  • DOI: https://doi.org/10.1007/s11401-022-0358-x

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