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Decay estimates for the critical semilinear wave equation

1998; Elsevier BV; Volume: 15; Issue: 6 Linguagem: Francês

10.1016/s0294-1449(99)80005-5

ISSN

1873-1430

Autores

Hajer Bahouri, Jalal Shatah,

Tópico(s)

Stability and Controllability of Differential Equations

Resumo

In this paper we prove that finite energy solutions (with added regularity) to the critical wave equation q w + 1,' = 0 on R3 decay to zero in time.The proof is based on a global space-time estimate and dilation identity.0 Elsevier, Paris RI$SUM& -Dans cet article, on montre que les solutions a Cnergie finie (avec regularit ajoutee) de l'equation des ondes critique 0~ + 7b5 = 0. dans R" decroissent vers zero en temps.La demonstration est basee sur une estimee temps-espace globale et une identite de dilatation.

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