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- W2519494021 abstract "Nous etudions l'analyticite microlocale des solutions de l'equation non lineaire u t =f(x, t, u, u x ) ou f(x, t, ζ 0 , ζ) est une fonction analytique reelle, a valeurs complexes, et holomorphe en (ζ 0 ,ζ). Nous montrons que si u est une solution de classe C 2 , σ ∈ Char et 1/i 2σ([L U , L u ]) < 0, ou si u. est une solution de classe C 3 , σ ∈ Char L u , σ([L u , L u ]) = 0 et σ([L u , [L u , L u ]]) ≠ 0, alors σ ∉ W F a ( u). Ici, W F a (u) designe le front d'onde analytique de u et Char L u l'ensemble caracteristique de l'operateur linearise. Quand m = 1, nous demontrons un resultat plus general faisant intervenir les crochets des operateurs L u et L u de tout ordre." @default.
- W2519494021 created "2016-09-23" @default.
- W2519494021 creator A5072693617 @default.
- W2519494021 date "2009-01-01" @default.
- W2519494021 modified "2023-10-01" @default.
- W2519494021 title "On microlocal analyticity of solutions of first-order nonlinear PDE" @default.
- W2519494021 doi "https://doi.org/10.5802/aif.2463" @default.
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