@article{RSMUP_1997__98__221_0,
author = {Tonin, Francesco},
title = {The {Cauchy} problem with logarithmic ramifications for $\mathcal {D}$-modules},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {221--240},
year = {1997},
publisher = {Seminario Matematico of the University of Padua},
volume = {98},
mrnumber = {1492979},
zbl = {0893.35003},
language = {en},
url = {https://www.numdam.org/item/RSMUP_1997__98__221_0/}
}
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
SP - 221
EP - 240
VL - 98
PB - Seminario Matematico of the University of Padua
UR - https://www.numdam.org/item/RSMUP_1997__98__221_0/
LA - en
ID - RSMUP_1997__98__221_0
ER -
%0 Journal Article
%A Tonin, Francesco
%T The Cauchy problem with logarithmic ramifications for $\mathcal {D}$-modules
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1997
%P 221-240
%V 98
%I Seminario Matematico of the University of Padua
%U https://www.numdam.org/item/RSMUP_1997__98__221_0/
%G en
%F RSMUP_1997__98__221_0
Tonin, Francesco. The Cauchy problem with logarithmic ramifications for $\mathcal {D}$-modules. Rendiconti del Seminario Matematico della Università di Padova, Tome 98 (1997), pp. 221-240. https://www.numdam.org/item/RSMUP_1997__98__221_0/
[A] , Microlocalisation Tempérée, Memoire 57, Supplement au Bull. Soc. Math. France, 122-2 (1994). | Zbl | MR | Numdam
[D'A-S1] - , An inverse image theorem for sheaves with applications to the Cauchy problem, Duke Math. J., 64 (3) (1991), pp. 451-472. | Zbl | MR
[D'A-S2] - , Problème de Cauchy ramifié en théorie des faisceaux, Sém. Ecole Polyt. Exposé, VII (1991-92).
[Ha] , The singularities of solutions of the Cauchy problem, Publ. R.I.M.S., Kyoto Univ., 5 (1969), pp. 20-40. | Zbl | MR
[H-L-W] - - , Système d'équations aux dérivées partielles à caractéristiques multiples: problème de Cauchy ramifié; hyperbolicité partielle, J. Math. Pures Appl., 55 (1976), pp. 297-352. | Zbl | MR
[K1] , The Riemann-Hilbert problem for holonomic systems, Publ. R.I.M.S., Kyoto Univ., 20 (1984), pp. 319-365. | Zbl | MR
[K2] , B-functions and holonomic systems, Inventiones Math., 38 (1976), pp. 33-53. | Zbl | MR
[K-S1] - , Sheaves on Manifolds, Gundlehren der Math. Wiss., 292, Springer-Verlag (1990). | Zbl | MR
[K-S2] - , Problème de Cauchy pour les systèmes microdifférentiels dans le domain complexe, Inventiones Math., 46 (1978), pp. 17-38. | Zbl | MR
[K-S3] - , Moderate and formal cohomology of O associated with constructible sheaves, Preprint R.I.M.S., Kyoto Univ., 999 (1994).
[K-S4] - , Micro-hyperbolic systems, Acta Math., 142 (1979). | Zbl | MR
[K-S5] - , Microlocal study of sheaves, Astérisque, 128 (1985). | Zbl | MR | Numdam
[Le1] , Problème de Cauchy ramifié, Ann. Sci. Ecole Norm. Sup. (4), 23 (1990), pp. 369-443. | Zbl | MR | Numdam
[Le2] , Problème de Cauchy ramifié linéaire pour des données d singularités algébriques, Sém. Ecole Polyt. Exposé, VII (1991). | Zbl
[P] , On the Cauchy problem on Cn with singular data, Sem. Math. Univ. Catania «Le Matematiche», XXX, 2 (1975), pp. 339-362. | Zbl | MR
[P-S] - , Applications de la théorie des microfonctions holomorphes au problème de Cauchy à données singulières, Ecole Polyt. Séminaire Goulaouic-Schwartz, Exposé XXIII (1976). | Zbl | MR | Numdam
[S1] , Microdifferential Systems in the Complex Domain, Grundlehren der Math. Wiss., 269, Springer-Verlag (1985). | Zbl | MR
[S2] , Front d'onde analytique au bord II, Sém. E.D.P. Ecole Polyt, Exposé, 13 (1986). | Zbl | MR | Numdam
[Sc] , 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. | Zbl | MR
[Sch] , An introduction to D-modules, Bull. Soc. Royale Sci. Liège, 63, 3-4 (1994), pp. 223-295. | Zbl | MR
[S-K-K] - - , Hyperfunctions and pseudo differential equations, Lecture Notes in Math., 287 (1973), pp. 264-524. | Zbl | MR
[W] , Sur le problème de Cauchy ramifié, J. Math. Pures Appl., 53 (1974), pp. 147-164. | Zbl | MR






