Fundamental solutions for operators of regularly hyperbolic type

Hitoshi KUMANO-GO

doi:10.2969/jmsj/02930399

Hitoshi KUMANO-GO

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JOURNAL FREE ACCESS

1977 Volume 29 Issue 3 Pages 399-406

DOI https://doi.org/10.2969/jmsj/02930399

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Published: 1977 Received: January 07, 1976 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) A. P. Calderón, Integrales singulares y sus applicaciones a ecuaciones differenciales hiperbólicas, Cursos y seminarios de matemática, Fasc. 3, Univ. of Buenos Aires, 1960.
2) G. I. Èskin, The Cauchy problem for hyperbolic systems in convolutions, Math. USSR-Sb., 3 (1967), 243-277.
3) L. Hörmander, The spectral function of an elliptic operator, Acta Math., 121 (1968), 193-218.
4) H. Kumano-go, Preudo-differential operators of multiple symbol and the Calderón-Vaillancourt theorem, J. Math. Soc. Japan, 27 (1975), 113-120.
5) H. Kumano-go, Pseudo-differential operators, Iwanami Shoten, Tokyo, 1974 (in Japanese).
6) H. Kumano-go, A calculus of Fourier integral operators on Rⁿ and the fundamental solution for an operator of hyperbolic type, Comm. In Partial Differential Equations, 1 (1976), 1-44.
7) P. D. Lax, Asymptotic solutions of oscillatory initial value problem, Duke Math. J.;, 24 (1957), 627-646.
8) D. Ludwig, Exact and asymptotic solutions of the Cauchy problem, Comm. Pure Appl. Math., 13 (1960), 473-508.
9) S. Mizohata, Systemes hyperboliques, J. Math. Soc. Japan, 11 (1959), 205-233.
10) C. Tsutsumi, The fundamental solution for a degenerate parabolique pseudodifferential operator, Proc. Japan Acad., 49 (1974), 11-15.

Right : [1] A. P. Calderón, Integrales singulares y sus applicaciones a ecuaciones differenciales hiperbólicas, Cursos y seminarios de matemática, Fasc. 3, Univ. of Buenos Aires, 1960.
[2] G. I. Èskin, The Cauchy problem for hyperbolic systems in convolutions, Math. USSR-Sb., 3 (1967), 243-277.
[3] L. Hörmander, The spectral function of an elliptic operator, Acta Math., 121 (1968), 193-218.
[4] H. Kumano-go, Preudo-differential operators of multiple symbol and the Calderón-Vaillancourt theorem, J. Math. Soc. Japan, 27 (1975), 113-120.
[5] H. Kumano-go, Pseudo-differential operators, Iwanami Shoten, Tokyo, 1974 (in Japanese).
[6] H. Kumano-go, A calculus of Fourier integral operators on Rⁿ and the fundamental solution for an operator of hyperbolic type, Comm. In Partial Differential Equations, 1 (1976), 1-44.
[7] P. D. Lax, Asymptotic solutions of oscillatory initial value problem, Duke Math. J., 24 (1957), 627-646.
[8] D. Ludwig, Exact and asymptotic solutions of the Cauchy problem, Comm. Pure Appl. Math., 13 (1960), 473-508.
[9] S. Mizohata, Systemes hyperboliques, J. Math. Soc. Japan, 11 (1959), 205-233.
[10] C. Tsutsumi, The fundamental solution for a degenerate parabolique pseudodifferential operator, Proc. Japan Acad., 49 (1974), 11-15.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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