1+2 dimensional radially symmetric wave maps revisit
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Publication:6427033
DOI10.1007/S11401-022-0358-XarXiv2302.09954MaRDI QIDQ6427033
Publication date: 20 February 2023
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.
Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71) PDEs on manifolds (35R01)
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