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Conormality and Lagrangian Properties in Diffractive Boundary Value Problems

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Microlocal Analysis and Spectral Theory

Part of the book series: NATO ASI Series ((ASIC,volume 490))

Abstract

Our main purpose is to study the lagrangian structure of the solution of a strictly diffractive boundary value problem at the transition from the shadow to the illuminated region. If the incoming data or the boundary data are conormal then two lagrangian submanifolds are involved there. Because of the geometry of the diffractive rays, their intersection is not clean. We try to describe the solution with phase functions and oscillatory integrals.

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© 1997 Springer Science+Business Media Dordrecht

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Laubin, P. (1997). Conormality and Lagrangian Properties in Diffractive Boundary Value Problems. In: Rodino, L. (eds) Microlocal Analysis and Spectral Theory. NATO ASI Series, vol 490. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5626-4_4

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  • DOI: https://doi.org/10.1007/978-94-011-5626-4_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6371-5

  • Online ISBN: 978-94-011-5626-4

  • eBook Packages: Springer Book Archive

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