The Cauchy problem with logarithmic ramifications for 𝒟 -modules

Francesco Tonin

Rendiconti del Seminario Matematico della Università di Padova (1997)

  • Volume: 98, page 221-240
  • ISSN: 0041-8994

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Tonin, Francesco. "The Cauchy problem with logarithmic ramifications for $\mathcal {D}$-modules." Rendiconti del Seminario Matematico della Università di Padova 98 (1997): 221-240. <http://eudml.org/doc/108445>.

@article{Tonin1997,
author = {Tonin, Francesco},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {temperated holomorphic functions; local well posedness},
language = {eng},
pages = {221-240},
publisher = {Seminario Matematico of the University of Padua},
title = {The Cauchy problem with logarithmic ramifications for $\mathcal \{D\}$-modules},
url = {http://eudml.org/doc/108445},
volume = {98},
year = {1997},
}

TY - JOUR
AU - Tonin, Francesco
TI - The Cauchy problem with logarithmic ramifications for $\mathcal {D}$-modules
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1997
PB - Seminario Matematico of the University of Padua
VL - 98
SP - 221
EP - 240
LA - eng
KW - temperated holomorphic functions; local well posedness
UR - http://eudml.org/doc/108445
ER -

References

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  1. [A] E. Andronikof, Microlocalisation Tempérée, Memoire 57, Supplement au Bull. Soc. Math. France, 122-2 (1994). Zbl0805.58059MR1273991
  2. [D'A-S1] A. D'Agnolo - P. Schapira, An inverse image theorem for sheaves with applications to the Cauchy problem, Duke Math. J., 64 (3) (1991), pp. 451-472. Zbl0760.35003MR1141282
  3. [D'A-S2] A. D'Agnolo - P. Schapira, Problème de Cauchy ramifié en théorie des faisceaux, Sém. Ecole Polyt. Exposé, VII (1991-92). 
  4. [Ha] Y. Hamada, The singularities of solutions of the Cauchy problem, Publ. R.I.M.S., Kyoto Univ., 5 (1969), pp. 20-40. Zbl0203.40702MR249815
  5. [H-L-W] Y. Hamada - J. Leray - C. Wagschal, Système d'équations aux dérivées partielles à caractéristiques multiples: problème de Cauchy ramifié; hyperbolicité partielle, J. Math. Pures Appl., 55 (1976), pp. 297-352. Zbl0307.35056MR435614
  6. [K1] M. Kashiwara, The Riemann-Hilbert problem for holonomic systems, Publ. R.I.M.S., Kyoto Univ., 20 (1984), pp. 319-365. Zbl0566.32023MR743382
  7. [K2] M. Kashiwara, B-functions and holonomic systems, Inventiones Math., 38 (1976), pp. 33-53. Zbl0354.35082MR430304
  8. [K-S1] M. Kashiwara - P. Schapira, Sheaves on Manifolds, Gundlehren der Math. Wiss., 292, Springer-Verlag (1990). Zbl0709.18001MR1074006
  9. [K-S2] M. Kashiwara - P. Schapira, Problème de Cauchy pour les systèmes microdifférentiels dans le domain complexe, Inventiones Math., 46 (1978), pp. 17-38. Zbl0369.35061MR490910
  10. [K-S3] M. Kashiwara - P. Schapira, Moderate and formal cohomology of O associated with constructible sheaves, Preprint R.I.M.S., Kyoto Univ., 999 (1994). 
  11. [K-S4] M. Kashiwara - P. Schapira, Micro-hyperbolic systems, Acta Math., 142 (1979). Zbl0413.35049MR512211
  12. [K-S5] M. Kashiwara - P. Schapira, Microlocal study of sheaves, Astérisque, 128 (1985). Zbl0589.32019MR794557
  13. [Le1] E. Leichtnam, Problème de Cauchy ramifié, Ann. Sci. Ecole Norm. Sup. (4), 23 (1990), pp. 369-443. Zbl0717.35018MR1055443
  14. [Le2] E. Leichtnam, Problème de Cauchy ramifié linéaire pour des données d singularités algébriques, Sém. Ecole Polyt. Exposé, VII (1991). Zbl0819.35007
  15. [P] J. Persson, On the Cauchy problem on Cn with singular data, Sem. Math. Univ. Catania «Le Matematiche», XXX, 2 (1975), pp. 339-362. Zbl0359.35048MR457924
  16. [P-S] P. Pallu De La Barrière - P. Schapira, Applications de la théorie des microfonctions holomorphes au problème de Cauchy à données singulières, Ecole Polyt. Séminaire Goulaouic-Schwartz, Exposé XXIII (1976). Zbl0338.35087MR481444
  17. [S1] P. Schapira, Microdifferential Systems in the Complex Domain, Grundlehren der Math. Wiss., 269, Springer-Verlag (1985). Zbl0554.32022MR774228
  18. [S2] P. Schapira, Front d'onde analytique au bord II, Sém. E.D.P. Ecole Polyt, Exposé, 13 (1986). Zbl0638.58027MR874572
  19. [Sc] D. Schiltz, Décomposition de la solution d'un problème de Cauchy homogène près de la frontière d'un domaine d'holomorphie des données de Cauchy, C. R. Acad. Sci. Paris Sér. I Math., 306 (1988), pp. 177-180. Zbl0646.32009MR930557
  20. [Sch] J.-P. Schneiders, An introduction to D-modules, Bull. Soc. Royale Sci. Liège, 63, 3-4 (1994), pp. 223-295. Zbl0816.35004MR1282516
  21. [S-K-K] M. Sato - T. Kawai - M. Kashiwara, Hyperfunctions and pseudo differential equations, Lecture Notes in Math., 287 (1973), pp. 264-524. Zbl0277.46039MR420735
  22. [W] C. Wagschal, Sur le problème de Cauchy ramifié, J. Math. Pures Appl., 53 (1974), pp. 147-164. Zbl0265.35016MR382832

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