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• W2056186614 abstract "We prove uniqueness of solutions to the wave map equation in the natural class, namely $ (u, partial_t u) in C([0,T); dot{H}^{d/2})times C^1([0,T); dot{H}^{d/2-1})$ in dimensions $dgeq 4$. This is achieved through estimating the difference of two solutions at a lower regularity level. In order to reduce to the Coulomb gauge, one has to localize the gauge change in suitable cones as well as estimate the difference between the frames and connections associated to each solutions and take advantage of the assumption that the target manifold has bounded curvature." @default.
• W2056186614 created "2016-06-24" @default.
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• W2056186614 creator A5078240002 @default.
• W2056186614 date "2011-11-18" @default.
• W2056186614 modified "2023-09-27" @default.
• W2056186614 title "Unconditional well-posedness for wave maps" @default.
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• W2056186614 hasPublicationYear "2011" @default.
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