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1+2 dimensional radially symmetric wave maps revisit

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arxiv 2302.09954 v1 pith:MBX4JFOM submitted 2023-02-20 math.AP

Yi Zhou This is my paper · ORCID
classification math.AP
keywords smootharbitraryauthordimensionalmanifoldmapsradiallysymmetric
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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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Cited by 1 Pith paper

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  1. Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II)

    math.AP 2025-07 conditional novelty 5.0 of 10

    A physical-space bilinear estimate method reproduces the sharpest known local well-posedness thresholds for the 2d and 3d Zakharov system without Bourgain spaces.

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