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Decay estimates for the critical semilinear wave equation. (English) Zbl 0924.35084
Authors’ abstract: In this paper we prove that finite energy solutions (with added regularity) to the critical wave equation $$u_{tt}-\Delta u+u^5=0$$ on $$\mathbb{R}^3$$ decay to zero in time. The proof is based on a global space-time estimate and dilation identity.

MSC:
 35L70 Second-order nonlinear hyperbolic equations 35B40 Asymptotic behavior of solutions to PDEs
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References:
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