On microlocal analyticity of solutions of first-order nonlinear PDE
نویسندگان
چکیده
منابع مشابه
On microlocal analyticity of solutions of first-order nonlinear PDE
— We study the microlocal analyticity of solutions u of the nonlinear equation ut = f(x, t, u, ux) where f(x, t, ζ0, ζ) is complex-valued, real analytic in all its arguments and holomorphic in (ζ0, ζ). We show that if the function u is a C2 solution, σ ∈ CharLu and 1 i σ([Lu, Lu]) < 0 or if u is a C3 solution, σ ∈ CharLu, σ([Lu, Lu]) = 0, and σ([Lu, [Lu, Lu]]) 6= 0, then σ / ∈WFau. Here WFau de...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2009
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.2463