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Kashiwara, Masaki; Schapira, Pierre

Problème de Cauchy pour les systèmes microdifferentiels dans le domaine complexe. (French) Zbl 0369.35061

Invent. Math. 46, 17-38 (1978).
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Cited in 17 Documents

MSC:

35S10 Initial value problems for PDEs with pseudodifferential operators
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\textit{M. Kashiwara} and \textit{P. Schapira}, Invent. Math. 46, 17--38 (1978; Zbl 0369.35061)
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References:

[1] Bony, J.M.: Extension du théorème de Holmgren, Sém. Goulaouic-Schwartz 1975-76, exposé 17
[2] Bony, J.M., Schapira, P.: Propagation des singularités analytiques pour les solutions des équations aux dérivées partielles, Ann. Inst. Fourier (Grenoble)26, 81-140 (1976) · Zbl 0312.35064
[3] Hamada, Y.: The singularities of the solutions of the Cauchy problem, Publ. R.I.M.S., Kyoto University5, 20-40 (1969) · Zbl 0203.40702
[4] Hamada, T., Leray, J., Wagschal, C.: Systèmes d’équations aux dérivées partielles à caractéristiques multiples: problème de Cauchy ramifié, hyperbolicité partielle. J. Math. Pures Appl.55, 297-352 (1976) · Zbl 0307.35056
[5] Kashiwara, M.: Algebraic study of systems of partial differential equations (thèse), Univ. of Tokyo, 1971 (en japonais)
[6] Kashiwara, M.: B-functions and holonomic systems, Inventiones math.38, 33-53 (1976) · Zbl 0354.35082
[7] Kashiwara, M., Kawai, T.: On the boundary value problem for elliptic system of linear differential equations, II. Proc. Japan Acad.49, 164-168 (1973) · Zbl 0279.35037
[8] Kashiwara, M., Kawai, T.: Microhyperbolic pseudo-differential operators I. J. Math. Soc. Japan27, No 3, 359-404 (1975) · Zbl 0305.35066
[9] Mebkhout, Z.: Local cohomology of analytic spaces. Publ. Res. Inst. Math. Sci. Kyoto Univ.12, 247-256, Supp. 1977 · Zbl 0372.32007
[10] Pallu de la Barrière, P., Schapira, P.: Application de la théorie des microfonctions holomorphes au problème de Cauchy à données singulières. Sém. Goulaouic Schwartz 1975-76, exposé 23 · Zbl 0338.35087
[11] Persson, J.: On the Cauchy problem in ? n with singular data. Sem. Math. Univ. Catania “Le Matematiche{”, vol.XXX. 2, 339-362 (1975)}
[12] Sato, M., Kashiwara, M.: The determinant of matrices of pseudo-differential operators. Proc. Japan Acad.51, 17-19 (1975) · Zbl 0337.35067
[13] Sato, M., Kashiwara, M., Kawai, T.: Hyperfunctions and pseudo-differential equations. In: Lecture Notes in Mathematics287, 265-529. Berlin, Heidelberg, New York: Springer 1973 · Zbl 0277.46039
[14] Schapira, P.: Propagation au bord et réflexion des singularités analytiques des solutions des équations aux dérivées partielles II. Sém. Goulacuic-Schwartz 1976-77, exposé 9 ou C.R.A.S.284, 381-383 (1977)
[15] Wagschal, C.: Sur le problème de Cauchy ramifié. J. Math. Pures et Appl.53, 147-164 (1974) · Zbl 0265.35016
[16] Whitney, H.: Tangents to an analytic variety. Ann. of Math.81, 496-549 (1964) · Zbl 0152.27701
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