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Existence for a nonlinear wave equation with damping and source terms
utt −∆u+Q(t, x, ut) = f(x, u), u(0) = u0, ut(0) = u1, (1.1) in (0, T ) × Rn, where 0 < T ≤ ∞, n ≥ 1. The data u0 and u1 are in the energy space and are compactly supported in Rn. The terms Q and f …