Mixed problems for hyperbolic equations of second order

Mitsuru IKAWA

doi:10.2969/jmsj/02040580

Mitsuru IKAWA

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JOURNAL FREE ACCESS

1968 Volume 20 Issue 4 Pages 580-608

DOI https://doi.org/10.2969/jmsj/02040580

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Published: 1968 Received: February 01, 1968 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) S. Agmon, Problèmes mixtes pour les équations hyperboliques d'ordre supérieur, Colloques internationaux du C. N. R. S., 1962, 13-18.
2) C. Baiocchi, Soluzioni ordinarie e generalizzate del problema di Cauchy per equa-zioni differenziali astratte lineari del secondo ordine in spazi di Hilbert, Ricerche Mat., 16 (1967), 27-95.
3) G. F. D. Duff, A mixed problem for normal hyperbolic linear partial differential equations of second order, Canad. J. Math., 9 (1957), 141-160.
4) R. Hersh, Mixed problems in several variables, J. Math. Mech., 12 (1963), 317-334.
5) L. Hörmander, Uniqueness theorems and estimates for normally hyperbolic partial differential equations of the second order, C. R. du douzième congrès des mathé-maticiens scandinaves, 1953, 105-115.
6) L. Gårding, Solution directe du problème de Cauchy pour les équations hyper-boliques, Colloques internationaux du C. N. R. S., 1956, 70-90.
7) M. Krzyzanski and J. Schauder, Quasilineare Differential-gleichungen zweiter Ordnung vom hyperbolischen Typus. Gemischte Randwertaufgaben, Studia Math., 6 (1936), 162-189.
8) O. A. Ladyzenskaya, Mixed problems for hyperbolic equations, (in Russian), Moscow, 1953.
9) J. L. Lions, Equations différentielles opérationnelles, Springer, 1961.
10) S. Mizohata, Theory of partial differential equations, (in Japanese), Iwanami, Tokyo, 1965.
11) S. Mizohata, Système hyperboliques, J. Math. Soc. Japan, 11 (1959), 205-233.
12) S. Mizohata, Quelques problems au bord, du type mixte, pour des équations hyperboliques, Séminaire sur les équations aux derivées partielles, Collège de France (1966-1967), 23-60.
13) L. Sarason, On hyperbolic mixed problems, Arch. Rational Mech. Anal., 15 (1965), 310-334.
14) K. Yosida, On operator theoretical integration of wave equations, J. Math. Soc. Japan, 8 (1956), 79-92.
15) L. Nirenberg, Remarks on strongly elliptic partial differential equations, Comm. Pure Appl. Math., 8 (1955), 649-675.

Right : [1] S. Agmon, Problèmes mixtes pour les équations hyperboliques d'ordre supérieur, Colloques internationaux du C. N. R. S., 1962, 13-18.
[2] C. Baiocchi, Soluzioni ordinarie e generalizzate del problema di Cauchy per equazioni differenziali astratte lineari del secondo ordine in spazi di Hilbert, Ricerche Mat., 16 (1967), 27-95.
[3] G. F. D. Duff, A mixed problem for normal hyperbolic linear partial differential equations of second order, Canad. J. Math., 9 (1957), 141-160.
[4] R. Hersh, Mixed problems in several variables, J. Math. Mech., 12 (1963), 317-334.
[5] L. Hörmander, Uniqueness theorems and estimates for normally hyperbolic partial differential equations of the second order, C. R. du douzième congrès des mathématiciens scandinaves, 1953, 105-115.
[6] L. Gårding, Solution directe du problème de Cauchy pour les équations hyperboliques, Colloques internationaux du C. N. R. S., 1956, 70-90.
[7] M. Krzyzanski and J. Schauder, Quasilineare Differential-gleichungen zweiter Ordnung vom hyperbolischen Typus. Gemischte Randwertaufgaben, Studia Math., 6 (1936), 162-189.
[8] O. A. Ladyzenskaya, Mixed problems for hyperbolic equations, (in Russian), Moscow, 1953.
[9] J. L. Lions, Equations différentielles opérationnelles, Springer, 1961.
[10] S. Mizohata, Theory of partial differential equations, (in Japanese), Iwanami, Tokyo, 1965.
[11] S. Mizohata, Système hyperboliques, J. Math. Soc. Japan, 11 (1959), 205-233.
[12] S. Mizohata, Quelques problèms au bord, du type mixte, pour des équations hyperboliques, Séminaire sur les équations aux derivées partielles, Collège de France (1966-1967), 23-60.
[13] L. Sarason, On hyperbolic mixed problems, Arch. Rational Mech. Anal., 15 (1965), 310-334.
[14] K. Yosida, On operator theoretical integration of wave equations, J. Math. Soc. Japan, 8 (1956), 79-92.
[15] L. Nirenberg, Remarks on strongly elliptic partial differential equations, Comm. Pure Appl. Math., 8 (1955), 649-675.

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

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