Mustapha Jazar

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.SP2005

Spectral decomposition and Gelfand's theorem

A. Driouich, O. El-Mennaoui, M. Jazar

In this paper we are interested in spectral decomposition of an unbounded operator with discrete spectrum. We show that if $A$ generates a polynomially bounded $n$ -times integrated…