H. Faour

collaborators

2 papers

math-ph2009

Local existence and uniqueness for a semi-linear accretive wave equation

H. Faour, A. Z. Fino, M. Jazar

We prove local existence and uniqueness of the solution $(u, u_{t}) \in C^{0} ([0, T]; H^{1} \times L^{2} (R^{N}))$ of the semilinear wave equation $u_{tt} - Δ u = u_{t} ∣ u_{t} ∣^{p - 1}$ .

math-ph2007

Blow-up rate for a semi-linear accretive wave equation

H. Faour, M. Jazar, Ch. Messikh

In this paper we consider the semi-linear wave equation: $u_{tt} - Δ u = u_{t} ∣ u_{t} ∣^{p - 1}$ in $R^{N}$ . We provide an associated energy. With this energy we give the blow-up rate fo…