Interactions de singularités pour une classe d’équations à caractéristiques doubles. (French) Zbl 0553.35090

We precise, in Sobolev spaces, the results concerning propagation of singularities obtained by N. Hanges [Ann. Math. Stud. 91, 113-126 (1978; Zbl 0446.35087)] in the \(C^{\infty}\) case for pseudo- differential opertors whose principal symbol is real and whose characteristic variety is the union of two smooth hypersurfaces with noninvolutive intersection. We also obtain a result in a nonlinear case. We prove our results by studying the action of Hanges’s parametrices in Sobolev spaces.


35S05 Pseudodifferential operators as generalizations of partial differential operators
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
35A20 Analyticity in context of PDEs


Zbl 0446.35087
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