Continuation of analytic solutions of linear differential equations up to convex conical singularities

 Access to full text

 Full (PDF)

1. [E] EHRENPREIS (L.). — A new proof and an extension of Hartogs theorem, Bull. Amer. Math. Soc. (N.S.), t. 67, 1961, p. 507-509. Zbl0099.07801MR24 #A1511
2. [G] GRUSIN (V.V.). — On solutions with isolated singularities for partial differential equations with constant coefficients, Trans. Moscow Math. Soc., t. 15, 1966, p. 295-315. Zbl0162.14701MR34 #7935
3. [Kn1] KANEKO (A.). — On continuation of regular solutions of linear partial differential equations, Publ. Res. Inst. Math. Sci., Kyoto Univ., suppl., t. 12, 1977, p. 113-121. Zbl0369.35009MR57 #13149
4. [Kn2] KANEKO (A.). — On continuation of real analytic solutions of linear partial differential equations, Astérisque, t. 89-90, 1981, p. 11-44. Zbl0518.35007MR83i:35011
5. [Kn3] KANEKO (A.). — On the analyticity of the locus of singularity of real analytic solutions with minimal dimension, Nagoya Math. J., t. 104, 1986, p. 63-84. Zbl0595.35007MR88b:35019
6. [Kn4] KANEKO (A.). — On continuation of real analytic solutions of linear partial differential equations up to convex conical singularities, Kôkyû-roku (Research Notes), Res. Inst. Math. Sci., Kyoto Univ., t. 592, 1986, p. 149-172 (japanese). 
7. [Kn5] KANEKO (A.). — On continuation of regular solutions of partial differential equations to compact convex sets, J. Fac. Sci. Univ. Tokyo, t. 17, 1970, p. 567-580. Zbl0218.35022MR47 #5421
8. [KK] KASHIWARA (M.) and KAWAI (T.). — On the boundary value problem for elliptic system of linear partial differential equations I-II, Proc. Japan Acad., Ser. A, t. 48-49, 1972-1973, p. 712-715, 164-168. Zbl0271.35028MR54 #1319a
9. [KKK] KASHIWARA (M.) and KAWAI (T.) and KIMURA (T.). — Foundation of Algebraic Analysis. - Princeton University Press, 1986 Zbl0605.35001MR87m:58156
10. [KS1] KASHIWARA (M.) and SCHAPIRA (P.). — Micro-hyperbolic systems, Acta Math., t. 142, 1979, p. 1-55. Zbl0413.35049MR80b:58060
11. [KS2] KASHIWARA (M.) and SCHAPIRA (P.). — Microlocal study of sheaves, Astérisque, t. 128, 1985. Zbl0589.32019MR87f:58159
12. [KS3] KASHIWARA (M.) and SCHAPIRA (P.). — Sheaves on Manifolds. - Grundlehren Math. Wiss., 292, 1990. Zbl0709.18001MR92a:58132
13. [Kw] KAWAI (T.). — Extension of solutions of systems of linear differential equations, Publ. Res. Inst. Math. Sci., Kyoto Univ., t. 12, 1976, p. 215-227. Zbl0366.58013MR54 #3767
14. [Ko] KOMATSU (H.). — Relative cohomology of sheaves of solutions of linear differential equations, Lecture Notes in Math., t. 287, 1973, p. 192-261. Zbl0278.58010MR52 #14681
15. [M] MALGRANGE (B.). — Systèmes différentiels à coefficients constants, Séminaire Bourbaki (1962-1963), exp. 246. Zbl0141.27304
16. [P] PALAMODOV (V.P.). — Linear Differential Operators with Constant Coefficients. - Grundlehren Math. Wiss., 168, 1970. Zbl0191.43401MR41 #8793
17. [SKK] SATO (M.), KAWAI (T.) and KASHIWARA (M.). — Microfunctions and pseudo-differential equations, Lecture Notes Math., t. 287, 1973, p. 265-529. Zbl0277.46039MR54 #8747
18. [S1] SCHAPIRA (P.). — Front d'onde analytique au bord II, Séminaire EDP, École Polyt. (1985-1986), exp. 13. Zbl0638.58027
19. [S2] SCHAPIRA (P.). — Propagation of regularity up to non smooth boundary, Journées EDP Saint-Jean-de-Monts, exp. 7, Publ. École Polyt., 1987. Zbl0666.58043
20. [S3] SCHAPIRA (P.). — Microfunctions for boundary value problems [in Algebraic Analysis, vol. II], Collection of Papers Dedicated to M. Sato, M. Kashiwara and T. Kawai ed., Academic Press, 1989, p. 809-819. Zbl0715.58037
21. [S4] SCHAPIRA (P.). — Propagation at the boundary of analytic singularities [in Singularities of Boundary Value Problems], H.G. Garnir (ed.), Reidel Publ. Co., 1981, p. 185-212. Zbl0472.35006MR82m:58054
22. [U1] UCHIDA (M.). — Microlocal analysis of diffraction by a corner, Ann. Sci. École Norm. Sup., t. 25, 1992, p. 47-75. Zbl0749.58053MR93b:35004
23. [U2] UCHIDA (M.). — 2-microlocal boundary value problems and their applications, Kôkyû-roku (Research Notes), Res. Inst. Math. Sci., Kyoto Univ., t. 704, 1989, p. 39-42.