@article{BSMF_1993__121_1_133_0, author = {Uchida, Motoo}, title = {Continuation of analytic solutions of linear differential equations up to convex conical singularities}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {133--152}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {121}, number = {1}, year = {1993}, doi = {10.24033/bsmf.2204}, mrnumber = {94a:58184}, zbl = {0791.35005}, language = {en}, url = {http://www.numdam.org/articles/10.24033/bsmf.2204/} }
TY - JOUR AU - Uchida, Motoo TI - Continuation of analytic solutions of linear differential equations up to convex conical singularities JO - Bulletin de la Société Mathématique de France PY - 1993 SP - 133 EP - 152 VL - 121 IS - 1 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.2204/ DO - 10.24033/bsmf.2204 LA - en ID - BSMF_1993__121_1_133_0 ER -
%0 Journal Article %A Uchida, Motoo %T Continuation of analytic solutions of linear differential equations up to convex conical singularities %J Bulletin de la Société Mathématique de France %D 1993 %P 133-152 %V 121 %N 1 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/bsmf.2204/ %R 10.24033/bsmf.2204 %G en %F BSMF_1993__121_1_133_0
Uchida, Motoo. Continuation of analytic solutions of linear differential equations up to convex conical singularities. Bulletin de la Société Mathématique de France, Volume 121 (1993) no. 1, pp. 133-152. doi : 10.24033/bsmf.2204. http://www.numdam.org/articles/10.24033/bsmf.2204/
[E] A new proof and an extension of Hartogs theorem, Bull. Amer. Math. Soc. (N.S.), t. 67, 1961, p. 507-509. | MR | Zbl
. -[G] On solutions with isolated singularities for partial differential equations with constant coefficients, Trans. Moscow Math. Soc., t. 15, 1966, p. 295-315. | MR | Zbl
. -[Kn1] On continuation of regular solutions of linear partial differential equations, Publ. Res. Inst. Math. Sci., Kyoto Univ., suppl., t. 12, 1977, p. 113-121. | MR | Zbl
. -[Kn2] On continuation of real analytic solutions of linear partial differential equations, Astérisque, t. 89-90, 1981, p. 11-44. | Numdam | MR | Zbl
. -[Kn3] On the analyticity of the locus of singularity of real analytic solutions with minimal dimension, Nagoya Math. J., t. 104, 1986, p. 63-84. | MR | Zbl
. -[Kn4] 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).
. -[Kn5] On continuation of regular solutions of partial differential equations to compact convex sets, J. Fac. Sci. Univ. Tokyo, t. 17, 1970, p. 567-580. | MR | Zbl
. -[KK] 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. | MR | Zbl
and . -[KKK] Foundation of Algebraic Analysis. - Princeton University Press, 1986 | MR | Zbl
and and . -[KS1] Micro-hyperbolic systems, Acta Math., t. 142, 1979, p. 1-55. | MR | Zbl
and . -[KS2] Microlocal study of sheaves, Astérisque, t. 128, 1985. | Numdam | MR | Zbl
and . -[KS3] Sheaves on Manifolds. - Grundlehren Math. Wiss., 292, 1990. | MR | Zbl
and . -[Kw] Extension of solutions of systems of linear differential equations, Publ. Res. Inst. Math. Sci., Kyoto Univ., t. 12, 1976, p. 215-227. | MR | Zbl
. -[Ko] Relative cohomology of sheaves of solutions of linear differential equations, Lecture Notes in Math., t. 287, 1973, p. 192-261. | MR | Zbl
. -[M] Systèmes différentiels à coefficients constants, Séminaire Bourbaki (1962-1963), exp. 246. | Numdam | Zbl
. -[P] Linear Differential Operators with Constant Coefficients. - Grundlehren Math. Wiss., 168, 1970. | MR | Zbl
. -[SKK] Microfunctions and pseudo-differential equations, Lecture Notes Math., t. 287, 1973, p. 265-529. | MR | Zbl
, and . -[S1] Front d'onde analytique au bord II, Séminaire EDP, École Polyt. (1985-1986), exp. 13. | Numdam | Zbl
. -[S2] Propagation of regularity up to non smooth boundary, Journées EDP Saint-Jean-de-Monts, exp. 7, Publ. École Polyt., 1987. | Numdam | Zbl
. -[S3] 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. | Zbl
. -[S4] Propagation at the boundary of analytic singularities [in Singularities of Boundary Value Problems], H.G. Garnir (ed.), Reidel Publ. Co., 1981, p. 185-212. | MR | Zbl
. -[U1] Microlocal analysis of diffraction by a corner, Ann. Sci. École Norm. Sup., t. 25, 1992, p. 47-75. | Numdam | MR | Zbl
. -[U2] 2-microlocal boundary value problems and their applications, Kôkyû-roku (Research Notes), Res. Inst. Math. Sci., Kyoto Univ., t. 704, 1989, p. 39-42.
. -Cited by Sources: