Formulation des valeurs au bord pour les systèmes réguliers

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1. [G-B] C. Goulaouic et M.S. Baoundi: Cauchy problem with characteristic initial hypersurface, Comm. Pure Appl. Math.26 (1973), 455-475. Zbl0256.35050MR338532
2. [K1] Kashiwara, M.: On the holonomic systems of linear differential equations II, Inventiones Math.49 (1978), 121-135. Zbl0401.32005MR511186
3. [K2] Kashiwara, M.: Vanishing cycle sheaves and holonomic systems of differential equations, Springer Lecture Notes in Math. n° 1016 (1983). Zbl0566.32022MR726425
4. [K-K] Kashiwara, M., Kawai, T.: Second microlocalisation and asymptotic expansions, Lecture Notes in Physics, Springer, 126 (1980), 21-56. Zbl0458.46027MR579740
5. [K-O] Kashiwara, M. et Oshima, T.: Systems of differential equations with regular singularities and their boundary value problems, Ann. of Math.106 (1977), 154-200. Zbl0358.35073MR482870
6. [Ko] Komatsu, H.: Boundary values for solutions of elliptic equations, Proc. Int. Conf. Func. Anal. Rel. Topics (1970) 107-121, University of Tokyo. Zbl0199.16701MR269986
7. [L-MF] Laurent, Y. et Monteiro Fernandes, T.: Systèmes différentiels fuchsiens le long d'une sous-variété, Publ. RIMS, Kyoto University Vol. 24 (1988), 397-431. Zbl0704.35032MR966181
8. [L-S] Laurent, Y. et Schapira, P.: Images inverses des modules différentiels, Compositio Mathematica61 (1987), 229-251. Zbl0617.32014MR882976
9. [O1] Oshima, T.: A definition of boundary values of solutions of partial differential equations with regular singularities, Publ. RIMS, Kyoto University, 19 (1983), 1203-1230. Zbl0559.35007MR723467
10. [O2] Oshima, T.: Boundary value problems for systems of linear partial differential equations with regular singularities, Adv. Stud. in Pure Math.4 (1984), 391-432. Zbl0576.58030MR810637
11. [S1] Schapira, P.: Problème de Dirichlet et solutions hyperfonctions des equations elliptiques, Bull. UMI (4), 3 (1969), 369-372. Zbl0177.37101MR267421
12. [S2] Schapira, P.: Front d'onde analytique au bord II, Sem EDP, École polytechnique, Exp. 13(1986). Zbl0638.58027MR874572
13. [S3] Schapira, P.: Microfunctions for boundary value problems, Algebraic Analysis, Vol. II (in honour of M. Sato) (1988), 809-819. Zbl0715.58037MR992494
14. [S4] Schapira, P.: Microdifferential systems in the complex domain, Grundlehren der mathmatischen Wissenchaften, 269, Springer-Verlag. Zbl0554.32022MR774228
15. [Sa] Sabbah, C.: Cycles évanescents et DX-modules (d'après M. Kashiwara et B. Malgrange), Conférence de la Rabida, 1984, vol. 3, Hermann, Paris (1987), 53-98. Zbl0623.32013
16. [Me] Mebkhout, Z.: Le formalisme des six opérations de Grothendieck pour les DX-modules cohérents, ch. III, §4, Hermann, Paris, 1989. Zbl0686.14020MR1008245
17. [Sai1] Saito, M.: On the structure of Brieskorn lattice, preprint. MR1011977
18. [Sai2] Saito, M.: Modules de Hodge polarisable, Publ. of RIMS, Kyoto University, 24 (1988), 849-995. Zbl0691.14007MR1000123
19. [S-K-K] Sato, M., Kashiwara, M., et Kawai, T.: Hyperfunctions and pseudo-differential equations, Lecture Notes in Math.287, Springer-Verlag, 1973, 265-529. Zbl0277.46039MR420735
20. [SGA4] Grothendieck, A. et Verdier, J.L.: Exposé I, Théorie des topos et cohomologie étale des schémas, Springer Lecture Notes in Maths. 269, 1963/64. Zbl0256.18008MR463174
21. [SGA7] Deligne, P.: Exposé XIV, Springer Lecture Notes in Math. 340, 1967/ 69. Zbl0269.14019

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