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Decay estimates for the critical semilinear wave equation
Authors:Hajer Bahouri  Jalal Shatah
Affiliation:Univ. of Tunis, Dept. of Maths, Tunis, Tunisie, N. Africa;Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, NY 10012-1185, USA
Abstract:
In this paper we prove that finite energy solutions (with added regularity) to the critical wave equation □u + u5 = 0 on 3 decay to zero in time. The proof is based on a global space-time estimate and dilation identity.
Keywords:
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