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A micro local approach to general boundary value problems. (English) Zbl 0372.35075


MSC:

35S15 Boundary value problems for PDEs with pseudodifferential operators
35A20 Analyticity in context of PDEs
35D99 Generalized solutions to partial differential equations
35S10 Initial value problems for PDEs with pseudodifferential operators
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References:

[1] Bony, J. M., Extensions du theoreme de Holmgren, Seminaire Goulaouic-Schwartz 1975-1976. · Zbl 0336.35003
[2] Kaneko, A., Singular Spectrum of Boundary Values of Solutions of Partial Dif- ferential Equations with Real Analytic Coefficients, Set. Pap. Coll. Gen. Educ. Univ. Tokyo 25 (1975), 59-68. · Zbl 0332.35048
[3] Kashiwara, M., Algebraic foundation of the theory of hyperfunctions, Surikaiseki- kenkyusho Kokyuroku No. 108, R.I.M.S. Kyoto Univ., 1969. (Japanese)
[4] Kashiwara, M., Expose oral au colloque ”Hyperfonctions et Physique Theorique” (1972) Nice (non public).
[5] Kashiwara, M., Kawai, T., On the boundary value problem for elliptic system of linear differential equations, I. Proc. Japan Acad., 48 (1972). · Zbl 0271.35028 · doi:10.3792/pja/1195519516
[6] , II, Proc. Japan Acad., 49 (1973).
[7] Kataoka, K., On the theory of Radon transforms for hyperfunctions and its ap- plications, Master’s thesis, Univ. Tokyo 1976 (Japanese).
[8] Komatsu, H., Kawai, T., Boundary values of hyperfunction solutions of linear differential equations, Publ. Res. Inst. Math. Sci., 1 (1971). · Zbl 0225.35032 · doi:10.2977/prims/1195193784
[9] Morimoto, M., Sur les ultradistributions cohomologiques, Ann. Inst. Fourier, 19-2 (1969). · Zbl 0176.11104
[10] Sato, M., Kawai, T., Kashiwara, M., Microfunctions and pseudo-differential equa- tions, Lecture Notes in Math. No. 287, Springer (1973). · Zbl 0277.46039
[11] Schapira, P., Hyperfonctions et problemes aux limites elliptiques, Bull. Soc. Mat. France 99, (1971), 113-141. · Zbl 0188.41402
[12] Schapira, P., Propagation au bord et reflexion des singularites analytiques des solu- tions des equations aux derivees partielles, Seminaire Goulaouic-Schwartz 1975-1976. · Zbl 0338.35085
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