Abstract
Representation of micro-distributions or microfunctions into the complex domain is an important tool in linear PDE. The purpose of this paper is to present some ways to perform complex canonical maps from the cotangent bundle of ℝn to a complex manifold and to show how they can be used to obtain lagrangian properties of solutions to some classical PDE’s. We refind the classical point of view by considering lagrangian structure at the 2-microlocal level.
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Laubin, P. (2003). Conormality and Lagrangian Properties Along Diffractive Rays. In: de Gosson, M. (eds) Jean Leray ’99 Conference Proceedings. Mathematical Physics Studies, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2008-3_7
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DOI: https://doi.org/10.1007/978-94-017-2008-3_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6316-8
Online ISBN: 978-94-017-2008-3
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