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Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves. (English) Zbl 0815.35066
From the introduction: This note is devoted to the proof that, generically, formal oscillatory waves described by asymptotic expansions of infinite order using the WKB method, define rigorous approximate solutions close to exact oscillatory solutions of semilinear or quasilinear hyperbolic systems.

35L60 First-order nonlinear hyperbolic equations
35C20 Asymptotic expansions of solutions to PDEs
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