Local existence and analyticity of hyperfunction solutions of partial differential equations of first order in two independent variables

Humio SUZUKI

doi:10.2969/jmsj/02310018

Humio SUZUKI

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JOURNAL FREE ACCESS

1971 Volume 23 Issue 1 Pages 18-26

DOI https://doi.org/10.2969/jmsj/02310018

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Published: 1971 Received: February 23, 1970 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) M. Kashiwabara, On the structure of hyperfunctions, Sugaku no Ayumi, 15 (1970), 9-72, (in Japanese).
2) H. Komatsu, Resolutions by hyperfunctions of sheaves of solutions of differential equations with constant coefficients, Math. Ann., 176 (1968), 77-86.
3) L. Nirenberg and F. Treves, Solvability of a first order linear partial differential equation, Comm. Pure Appl. Math., 16 (1963), 331-351.
4) M. Sato, Theory of hyperfunctions I, II, J. Fac. Sci. Univ. Tokyo, 8 (1959/60), 139-193, 387-437.
5) M. Sato, Hyperfunctions and partial differential equations, Proc. Intern. Conf. Functional Analysis and Related Topics, 1969, Tokyo, 91-94.
6) P. Schapira, Une équation aux dérivées partielles sans solutions dans l'espace des hyperfonctions, C. R. Acad. Sci. Paris, 265 (1967), Série A, 665-667.
7) P. Schapira, Equations aux dérivées partielles dans l'espace des hyperfonctions, Séminaire P. Lelong, 1967/68, 38-45.
8) P. Schapira, Solutions hyperfonctions des équations aux dérivées partielles du premier ordre, Bull. Soc. Math. France, 97 (1969), 243-255.

Right : [1] M. Kashiwabara, On the structure of hyperfunctions, Sugaku no Ayumi, 15 (1970), 9-72, (in Japanese).
[2] H. Komatsu, Resolutions by hyperfunctions of sheaves of solutions of differential equations with constant coefficients, Math. Ann., 176 (1968), 77-86.
[3] L. Nirenberg and F. Treves, Solvability of a first order linear partial differential equation, Comm. Pure Appl. Math., 16 (1963), 331-351.
[4] M. Sato, Theory of hyperfunctions I, II, J. Fac. Sci. Univ. Tokyo, 8 (1959/60), 139-193, 387-437.
[5] M. Sato, Hyperfunctions and partial differential equations, Proc. Intern. Conf. Functional Analysis and Related Topics, 1969, Tokyo, 91-94.
[6] P. Schapira, Une équation aux dérivées partielles sans solutions dans l'espace des hyperfonctions, C. R. Acad. Sci. Paris, 265 (1967), Série A, 665-667.
[7] P. Schapira, Equations aux dérivées partielles dans l'espace des hyperfonctions, Séminaire P. Lelong, 1967/68, 38-45.
[8] P. Schapira, Solutions hyperfonctions des équations aux dérivées partielles du premier ordre, Bull. Soc. Math. France, 97 (1969), 243-255.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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