Asymptotic expansions of the solutions to a class of quasilinear hyperbolic initial value problems

Atsushi YOSHIKAWA

doi:10.2969/jmsj/04720227

Atsushi YOSHIKAWA

著者情報

ジャーナルフリー

1995 年 47 巻 2 号 p. 227-252

DOI https://doi.org/10.2969/jmsj/04720227

詳細

Published: 1995 Received: 1992/05/27 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) J. Hunter, A. Majda and R. Rosales, Resonantly interacting weakly nonlinear hyperbolic waves, II: Several space variables, Stud. Appl. Math., 75 (1986), 187-226.
2) J.-L. Joly, J. Metivier and J. Rauch, Remarques sur l'optique géometrique non linéairemultidimensionnelle, Sém. E.D.P., 1990-1991, Ecole Polytechnique.
3) A. Majda, Nonlinear geometric optics for hyperbolic systems of conservation laws, In Oscillation theory, computation, and methods of compactness, IMA, vol. 2, Springer, New York, 1986, pp. 115-165.
4) A. Majda, Compressible fluid flow and systems of conservation laws in several space variables, Appl. Math. Ser., 53, Springer, Berlin-Heidelberg-New York, 1984.
5) A. Majda, The interaction of nonlinear analysis and modern applied mathematics, Proc. ICM 1990, vol. 1, The Mathematical Society of Japan, Springer, Tokyo-Berlin-Heidelberg-New York-London-Hong Kong-Barcelona-Budapest, 1991, pp. 175-191.
6) S. Schochet, Fast singular limits of hyperbolic PDEs, (preprint 1992).
7) A. Yoshikawa, Solutions containing a large parameter of a quasi-linear hyperbolic system of equations and their non-linear geometric optics approximation, Trans. Amer. Math. Soc., 340 (1993), 103-126.
8) A. Yoshikawa, Quasilinear oscillations and geometric optics, Adv. Math. Sci. Appl., 4 (1994), 381-398.
9) A. Yoshikawa, Quasilinear geometric optics approximation, Lecture Notes in Math., 1540, Springer, 1993, pp. 403-413.

Right : [1] J. Hunter, A. Majda and R. Rosales, Resonantly interacting weakly nonlinear hyperbolic waves, II: Several space variables, Stud. Appl. Math., 75 (1986), 187-226.
[2] J. -L. Joly, J. Metivier and J. Rauch, Remarques sur l'optique géometrique non linéaire multidimensionnelle, Sém. E. D. P., 1990-1991, Ecole Polytechnique.
[3] A. Majda, Nonlinear geometric optics for hyperbolic systems of conservation laws, In Oscillation theory, computation, and methods of compactness, IMA, vol. 2, Springer, New York, 1986, pp. 115-165.
[4] A. Majda, Compressible fluid flow and systems of conservation laws in several space variables, Appl. Math. Ser., 53, Springer, Berlin-Heidelberg-New York, 1984.
[5] A. Majda, The interaction of nonlinear analysis and modern applied mathematics, Proc. ICM 1990, vol. 1, The Mathematical Society of Japan, Springer, Tokyo-Berlin-Heidelberg-New York-London-Hong Kong-Barcelona-Budapest, 1991, pp. 175-191.
[6] S. Schochet, Fast singular limits of hyperbolic PDEs, (preprint 1992).
[7] A. Yoshikawa, Solutions containing a large parameter of a quasi-linear hyperbolic system of equations and their non-linear geometric optics approximation, Trans. Amer. Math. Soc., 340 (1993), 103-126.
[8] A. Yoshikawa, Quasilinear oscillations and geometric optics, Adv. Math. Sci. Appl., 4 (1994), 381-398.
[9] A. Yoshikawa, Quasilinear geometric optics approximation, Lecture Notes in Math., 1540, Springer, 1993, pp. 403-413.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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