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Generalization to the theory of d-modules of the characteristic cauchy problem


AMS Calcification Numbers: 14F05, 32C38, 35A27, 58G07. Key words and phrases: D-modules, characteristic Cauchy problem, sheaves on manifolds. Objective of the project:
Generalization of the notion of asymptotic developpement for the solutions of the characteristic Cauchy problem to the framework of D-modules (i.e. generalized over determined systems).
Algebraic analysis. Methods already developed in my earlier studies with Prof. P. Schapira.
State of the art most important reference:
L. Garding, T. Kotake, J. Leray, Uniformisation et diveloppement asymptotique de la solution du problhme de Cauchy liniaire ` donnies holomorphes; analogie avec la thiorie des ondes asymptotiques et approchies, Bull. Soc. math. France, 92, 1964, 263361.

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Université Pierre et Marie Curie - Paris VI
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4/247,Place Jussieu
75252 Paris

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