On continuation of regular solutions of partial differential equations with constant coefficients

Akira KANEKO

doi:10.2969/jmsj/02610092

Akira KANEKO

著者情報

ジャーナルフリー

1974 年 26 巻 1 号 p. 92-123

DOI https://doi.org/10.2969/jmsj/02610092

詳細

Published: 1974 Received: 1972/10/04 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 著者情報訂正内容: Wrong : Akira KANEKO¹⁾
Right : Akira KANEKO¹⁾²⁾

訂正日: 2006/09/29 訂正理由: - 訂正箇所: 所属機関情報訂正内容: 訂正前 :
1) Department of Mathematics Faculty of Science University of Tokyo

訂正後 :
1) Department of Mathematics Faculty of Science University of Tokyo
2) Department of Mathematics College of General Education University of Tokyo

訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) V. V. Grušin, On solutions with isolated singularities for partial differential equations with constant coefficients, Trudy Moskov. Mat. Obšc., 15 (1966), 262-278.
2) L. Hörmander, Linear Partial Differential Operators, Springer, 1963.
3) A. Kaneko, On continuation of regular solutions of partial differential equations to compact convex sets, J. Fac. Sci. Univ. Tokyo, Sec. IA, 17 (1970), 567-580.
4) A. Kaneko, On continuation of regular solutions of partial differential equations to compact convex sets, II, Ibid. 18 (1972), 415-433.
5) A. Kaneko, Representation of hyperfunctions by measures and some of its applications, Ibid., 19 (1972), 321-352.
6) A. Kaneko, On continuation of regular solutions of partial differential equations with constant coefficients, Proc. Japan Acad., 49 (1973), 17-19.
7) T. Kawai, On the theory of Fourier hyperfunctions and its applications to partial differential equations with constant coefficients, J. Fac. Sci. Univ. Tokyo, Sec. IA, 17 (1970), 467-517. 7bis) T. Kawai, On the theory of Fourier transform of hyperfunctions and its applications, Sûrikaiseki-kenkyûsho Kôkyûroku, 108 (1971), 84-288 (Japanese).
8) H. Komatsu, Resolutions by hyperfunctions of sheaves of solutions of differential equations with constant coefficients, Math. Ann. 176 (1968), 77-86.
9) H. Komatsu, Relative cohomology of sheaves of solutions of differential equations, Sém. Lions-Schwartz, 1966/7 (reprinted in Springer Lecture Notes in Mathematics, No. 287, 1973, 192-261).
10) B. Malgrange, Sur les systèmes différentiels à coefficients constants, Sém. Leray,1962/3.
11) B. Malgrange, Ideals of Differentiable Functions, Tata Institute, 1965.
12) A. Martineau, Sur les fonctionnelles analytiques et la transformation de Fourier-Borel, J. d'Anal. Math., 11 (1963), 1-164.
13) V. P. Palamodov, Linear Differential Operators with Constant Coefficients, Nauka, 1967 (Russian; English translation, Springer, 1970).
14) P. Schapira, Théorème d'unicité de Holmgren et opérateurs hyperboliques dansl'espace des hyperfonctions, Anais Acad. Brasil Sc., 43 (1971), 38-44.

Right : [1] V. V. Grušin, On solutions with isolated singularities for partial differential equations with constant coefficients, Trudy Moskov. Mat. Obšc., 15 (1966), 262-278.
[2] L. Hörmander, Linear Partial Differential Operators, Springer, 1963.
[3] A. Kaneko, On continuation of regular solutions of partial differential equations to compact convex sets, J. Fac. Sci. Univ. Tokyo, Sec. IA, 17 (1970), 567-580.
[4] A. Kaneko, On continuation of regular solutions of partial differential equations to compact convex sets, II, J. Fac. Sci. Univ. Tokyo, Sec. IA, 18 (1972), 415-433.
[5] A. Kaneko, Representation of hyperfunctions by measures and some of its applications, J. Fac. Sci. Univ. Tokyo, Sec. IA, 19 (1972), 321-352.
[6] A. Kaneko, On continuation of regular solutions of partial differential equations with constant coefficients, Proc. Japan Acad., 49 (1973), 17-19.
[7] T. Kawai, On the theory of Fourier hyperfunctions and its applications to partial differential equations with constant coefficients, J. Fac. Sci. Univ. Tokyo, Sec. IA, 17 (1970), 467-517.
[7bis] T. Kawai, On the theory of Fourier transform of hyperfunctions and its applications, Sûrikaiseki-kenkyûsho Kôkyûroku, 108 (1971), 84-288 (Japanese).
[8] H. Komatsu, Resolutions by hyperfunctions of sheaves of solutions of differential equations with constant coefficients, Math. Ann. 176 (1968), 77-86.
[9] H. Komatsu, Relative cohomology of sheaves of solutions of differential equations, Sém. Lions-Schwartz, 1966/7 (reprinted in Springer Lecture Notes in Mathematics, No. 287, 1973, 192-261).
[10] B. Malgrange, Sur les systèmes différentiels à coefficients constants, Sém. Leray,1962/3.
[11] B. Malgrange, Ideals of Differentiable Functions, Tata Institute, 1965.
[12] A. Martineau, Sur les fonctionnelles analytiques et la transformation de Fourier-Borel, J. d'Anal. Math., 11 (1963), 1-164.
[13] V. P. Palamodov, Linear Differential Operators with Constant Coefficients, Nauka, 1967 (Russian; English translation, Springer, 1970).
[14] P. Schapira, Théorème d'unicité de Holmgren et opérateurs hyperboliques dans l'espace des hyperfonctions, Anais Acad. Brasil Sc., 43 (1971), 38-44.

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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