Propagation of analyticity for a class of nonlinear hyperbolic equations

Details Propagation of analyticity for a class of nonlinear hyperbolic equations Propagation of analyticity for a class of nonlinear hyperbolic equations

2010-12-17

arxiv.org/abs/1012.3949v1

Mathematics

Analysis of PDEs

15 pages

Scientific paper

The propagation of analyticity for a solution u(t,x) to a nonlinear weakly hyperbolic equation of order m, means that if u, and its time derivatives up to the order m-1, are analytic in the space variables x at the initial time, then they remain analytic for any time. Here we prove that such a property holds for the solutions bounded in C-infinity of a special class of homogeneous equations in one space variable, with time dependent coefficient.

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