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AFRICAN RESEARCH NEXUS

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mathematics

Decay estimates for the critical semilinear wave equation

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, Volume 15, No. 6, Year 1998

In this paper we prove that finite energy solutions (with added regularity) to the critical wave equation □u + u5 = 0 on ℝ3 decay to zero in time. The proof is based on a global space-time estimate and dilation identity. © Elsevier, Paris.

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