Local existence and uniqueness for a semilinear accretive wave equation

Houda Faour (1) , A.Z. Fino (2) , M. Jazar (2)

1 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
2 LaMA-Liban

We study local existence and uniqueness in the phase space Hμ×Hμ−1(RN) of the solution of the semilinear wave equation utt−Δu=ut|ut|p−1 for p>1.

Mots clés: Wave equations; Strichartz estimates

Domaines: Equations aux dérivées partielles [math.AP]

Houda Faour, A.Z. Fino, M. Jazar. Local existence and uniqueness for a semilinear accretive wave equation. Journal of Mathematical Analysis and Applications, 2011, 377 (2), pp.534-539. ⟨10.1016/j.jmaa.2010.11.003⟩. ⟨hal-00676455⟩