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| (1+2)-Dimensional Radially Symmetric Wave Maps Revisit* |
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Citation： |
Yi ZHOU.(1+2)-Dimensional Radially Symmetric Wave Maps Revisit*[J].Chinese Annals of Mathematics B,2022,43(5):785~796 |
| Page view： 399
Net amount： 476 |
Authors： |
Yi ZHOU; |
Foundation： |
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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| 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. |
Keywords： |
Cauchy problem, Wave maps, Global smooth solution |
Classification： |
35L |
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