Schapira, Pierre Propagation at the boundary and reflection of analytic singularities of solutions of linear partial differential equations. I. (English) Zbl 0378.35065 Publ. Res. Inst. Math. Sci., Kyoto Univ. 12, Suppl., 441-453 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 9 Documents MSC: 35S99 Pseudodifferential operators and other generalizations of partial differential operators 35G05 Linear higher-order PDEs 35A20 Analyticity in context of PDEs 35D10 Regularity of generalized solutions of PDE (MSC2000) × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Bony J. M., Schapira P., Propagation des singularites analytiques pour les solutions des equations aux derivees partielles, Ann. Inst. Fourier 26 (1976), (1) 81-140. · Zbl 0312.35064 · doi:10.5802/aif.601 [2] Kaneko A., Singular spectrum of boundary values of solutions of partial differential equations with real analytic coefficients, Scientific Papers Coll. Gen. Educ. Univ. Tokyo 25 n^\circ 2 (1975), 59-68. · Zbl 0332.35048 [3] Kashiwara M., Talks in Nice (1972). [4] Kashiwa M., Kawa’i T., On the boundary value problem for elliptic systems of linear differential equations, I and II, Proc. Japan Acad. 48 (1971), 712-715 and 49 (1973), 164-168. [5] Kashiwara M., Kawa’i, T., On microhyperbolic pseudo-differential operators I, J. Math. Soc. Japan, 27 (1975), 359-404. · Zbl 0305.35066 · doi:10.2969/jmsj/02730359 [6] Kataoka K., A microlocal approach to general boundary value problems, these pro- ceedings. · Zbl 0372.35075 · doi:10.2977/prims/1195196604 [7] Komatsu, H., Boundary values for solutions of elliptic equations, Proc. Intern. Conf. Fund. Analysis and Relat. Topics, Univ. of Tokyo Press, (1970), 107-121. · Zbl 0199.16701 [8] Morrey C. B., Nirenberg L., On the analyticity of the solutions of linear elliptic systems of differential equations, Comm. Pure Appl. Math. 10 (1957), 261-290. · Zbl 0082.09402 · doi:10.1002/cpa.3160100204 [9] Nirenberg, L., Lectures on linear partial differential equations, Regional Conferences series in Math., n. 17 Providence RI, 1973. · Zbl 0267.35001 [10] Sato, M., Kawa’i, T., Kashiwara, M., Hyperfunctions and pseudo-differential equa- tions, Lecture Notes in Math., Springer 287, (1973), 265-529. · Zbl 0277.46039 [11] Schapira, P., Hyperfonctions et problemes aux limites elliptiques, Bull. Soc. Math. France 89 (1971), 113-141. Note added in proof. We have now proved the AT-regularity of a large class of pseudo- differential operators including those discussed in [1]. cf. Seminaire Goulaonic-Schwartz, Decembre 1976. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.