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Propagation of c°° regularity for fully nonlinear second order strictly hyperbolic equations in two variables

par Godin, Paul
Référence Transactions of the American Mathematical Society, 290, 2, page (825-830)
Publication Publié, 1985

Article révisé par les pairs

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Résumé :

It is shown that if u is a C3 solution of a fully nonlinear second order strictly hyperbolic equation in two variables, then u is C∞ at a point m as soon as it is C∞ at some point of each of the two bicharacteristic curves through m. For semilinear equations, such a result was obtained before by Rauch and Reed if u ∈ C1. © 1985 American Mathematical Society.