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• W1583840102 abstract "We study time and space equivariant wave maps from $MtimesRRrightarrow S^2,$ where $M$ is diffeomorphic to a two dimensional sphere and admits an action of SO(2) by isometries. We assume that metric on $M$ can be written as $dr^2+f^2(r)dtheta^2$ away from the two fixed points of the action, where the curvature is positive, and prove that stationary (time equivariant) rotationally symmetric (of any rotation number) smooth wave maps exist and are stable in the energy topology. The main new ingredient in the construction, compared with the case where $M$ is isometric to the standard sphere (considered by Shatah and Tahvildar-Zadeh cite{ST1}), is the the use of triangle comparison theorems to obtain pointwise bounds on the fundamental solution on a curved background." @default.
• W1583840102 created "2016-06-24" @default.
• W1583840102 creator A5033394719 @default.
• W1583840102 date "2012-04-03" @default.
• W1583840102 modified "2023-10-01" @default.
• W1583840102 title "Stability of Stationary Wave Maps from a Curved Background to a Sphere" @default.
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