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Régularité microlocale pour des problèmes aux limites non linéaires. (Microlocal regularity for nonlinear boundary value problems). (French) Zbl 0615.35092
Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1984, Conf. No. 1, 7 p. (1984).
The author studies the reflection of singularities of solutions of nonlinear partial differential equations in a region with noncharacteristic boundary. She defines the notion of tangential paraproduct of two functions by modifyng the theory of J. M. Bony [Ann. Sci. Ec. Norm. Super., IV. Sér. 14, 209-246 (1981; Zbl 0495.35024)] and she obtains the theorem of tangential paralinearisation. The author applies these results to the study of the boundary regularity problem and obtains a Nierenberg type result.
Reviewer: S.Tajima
35S15 Boundary value problems for PDEs with pseudodifferential operators
35A27 Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs
35G30 Boundary value problems for nonlinear higher-order PDEs
35A30 Geometric theory, characteristics, transformations in context of PDEs
Zbl 0495.35024
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