@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}, publisher = {Seminario Matematico of the University of Padua}, volume = {98}, year = {1997}, mrnumber = {1492979}, zbl = {0893.35003}, language = {en}, url = {http://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 - http://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 http://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, Volume 98 (1997), pp. 221-240. http://www.numdam.org/item/RSMUP_1997__98__221_0/
[A] Microlocalisation Tempérée, Memoire 57, Supplement au Bull. Soc. Math. France, 122-2 (1994). | Numdam | MR | Zbl
,[D'A-S1] An inverse image theorem for sheaves with applications to the Cauchy problem, Duke Math. J., 64 (3) (1991), pp. 451-472. | MR | Zbl
- ,[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. | MR | Zbl
,[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. | MR | Zbl
- - ,[K1] The Riemann-Hilbert problem for holonomic systems, Publ. R.I.M.S., Kyoto Univ., 20 (1984), pp. 319-365. | MR | Zbl
,[K2] B-functions and holonomic systems, Inventiones Math., 38 (1976), pp. 33-53. | MR | Zbl
,[K-S1] Sheaves on Manifolds, Gundlehren der Math. Wiss., 292, Springer-Verlag (1990). | MR | Zbl
- ,[K-S2] Problème de Cauchy pour les systèmes microdifférentiels dans le domain complexe, Inventiones Math., 46 (1978), pp. 17-38. | MR | Zbl
- ,[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). | MR | Zbl
- ,[K-S5] Microlocal study of sheaves, Astérisque, 128 (1985). | Numdam | MR | Zbl
- ,[Le1] Problème de Cauchy ramifié, Ann. Sci. Ecole Norm. Sup. (4), 23 (1990), pp. 369-443. | Numdam | MR | Zbl
,[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. | MR | Zbl
,[P-S] Applications de la théorie des microfonctions holomorphes au problème de Cauchy à données singulières, Ecole Polyt. Séminaire Goulaouic-Schwartz, Exposé XXIII (1976). | Numdam | MR | Zbl
- ,[S1] Microdifferential Systems in the Complex Domain, Grundlehren der Math. Wiss., 269, Springer-Verlag (1985). | MR | Zbl
,[S2] Front d'onde analytique au bord II, Sém. E.D.P. Ecole Polyt, Exposé, 13 (1986). | Numdam | MR | Zbl
,[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. | MR | Zbl
,[Sch] An introduction to D-modules, Bull. Soc. Royale Sci. Liège, 63, 3-4 (1994), pp. 223-295. | MR | Zbl
,[S-K-K] Hyperfunctions and pseudo differential equations, Lecture Notes in Math., 287 (1973), pp. 264-524. | MR | Zbl
- - ,[W] Sur le problème de Cauchy ramifié, J. Math. Pures Appl., 53 (1974), pp. 147-164. | MR | Zbl
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