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Propagation of analyticity in the C∞ solutions of quasi-linear weakly hyperbolic wave equations

Propagation of analyticity in the C∞ solutions of quasi-linear weakly hyperbolic wave equations

We study the propagation of the analytic regularity of the C∞ solutions of the quasi-linear, weakly hyperbolic wave equation u tt - a(u)u xx = 0, where a(u) is a bounded, nonnegative analytic function.