On a parametrix in some weak sense of a first order linear partial differential operator with two independent variables

Toyohiro AKAMATSU

doi:10.2969/jmsj/02910001

Toyohiro AKAMATSU

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JOURNAL FREE ACCESS

1977 Volume 29 Issue 1 Pages 1-27

DOI https://doi.org/10.2969/jmsj/02910001

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Published: 1977 Received: January 22, 1975 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) R. Beals and C. Fefferman, On the local solvability of linear partial differential equations with C^∞ coefficients, Ann. of Math., 97 (1973), 482-498.
2) H. Kumano-go, Pseudo-differential operators and their applications, La Funkcialai Ekvacioi, Vol. XXII N-ro 2/3 (1970), (Japanese).
3) L. Nirenberg and F. Trèves, Solvability of a first order linear partial differential equation, Comm. Pure Appl. Math., 16 (1963), 331-351.
4) L. Nirenberg and F. Trèves, On local solvability of linear partial differential equations, Part I: Necessary conditions, Comm. Pure Appl. Math., 23(1970), 1-38.
5) L. Nirenberg and F. Trèves, On local solvability of linear partial differential equations, Part II: Sufficient conditions, Comm. Pure Appl. Math., 23 (1970), 459-510
6) F. Trèves, A new method of proof of the subelliptic estimates, Comm. Pure Appl. Math., 24 (1971), 71-115.
7) F. Trèves, Hypoelliptic partial differential equations of principal type, Sufficient conditions and necessary conditions, Comm. Pure Appl. Math., 24 (1971), 537-570.

Right : [1] R. Beals and C. Fefferman, On the local solvability of linear partial differential equations with C^∞ coefficients, Ann. of Math., 97 (1973), 482-498.
[2] H. Kumano-go, Pseudo-differential operators and their applications, La Funkcialai Ekvacioi, Vol. XXII N-ro 2/3 (1970), (Japanese).
[3] L. Nirenberg and F. Trèves, Solvability of a first order linear partial differential equation, Comm. Pure Appl. Math., 16 (1963), 331-351.
[4] L. Nirenberg and F. Trèves, On local solvability of linear partial differential equations, Part I: Necessary conditions, Comm. Pure Appl. Math., 23 (1970), 1-38.
[5] L. Nirenberg and F. Trèves, On local solvability of linear partial differential equations, Part II: Sufficient conditions, Comm. Pure Appl. Math., 23 (1970), 459-510
[6] F. Trèves, A new method of proof of the subelliptic estimates, Comm. Pure Appl. Math., 24 (1971), 71-115.
[7] F. Trèves, Hypoelliptic partial differential equations of principal type, Sufficient conditions and necessary conditions, Comm. Pure Appl. Math., 24 (1971), 537-570.

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