On the Stability of Stationary Wave Maps} |
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| Authors: | Jalal Shatah A Shadi Tahvildar-Zadeh |
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| Institution: | (1) Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, NY 10012, USA, US;(2) Department of Mathematics, Princeton University, Princeton, NJ 08544, USA, US |
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| Abstract: | Equivariant wave maps from into have smooth, stationary solutions which are critical points of the energy subject to constant charge. These solutions are
globally stable under equivariant perturbations. Consequently, there exists a large set of initial data, with no degree or
energy restrictions, for which the Cauchy problem is globally well-posed.
Received: |
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