Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited

Michael G. CRANDALL; Hitoshi ISHII; Pierre-Louis LIONS

doi:10.2969/jmsj/03940581

Michael G. CRANDALL, Hitoshi ISHII, Pierre-Louis LIONS

著者情報

ジャーナルフリー

1987 年 39 巻 4 号 p. 581-596

DOI https://doi.org/10.2969/jmsj/03940581

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Published: 1987 Received: 1986/03/25 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: Right : [1] G. Barles, Existence results for first-order Hamilton-Jacobi equations, Ann. Inst. H. Poincaré, Analyse non linéaire, 1 (1984), 325-340.
[2] G. Barles, Remarques sur des resultats d'existence pour les equations de Hamilton-Jacobi du primier order, Ann. Inst. H. Poincaré, Analyse non Linéaire, 2 (1985), 21-32.
[3] M. G. Crandall, L. C. Evans and P. L. Lions, Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc., 282 (1984), 487-502.
[4] M. G. Crandall and P. L. Lions, Condition d'unicité pour les solutions généralisées des équations de Hamilton-Jacobi du premier ordre, C. R. Acad. Sci. Paris, 292 (1981), 183-186.
[5] M. G. Crandall and P. L. Lions, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc., 277 (1983), 1-42.
[6] M. G. Crandall and P. L. Lions, Solutions de viscosité non bornées des équations de Hamilton-Jacobi du premier ordre, C. R. Acad. Sci. Paris, 298 (1984), 217-220.
[7] M. G. Crandall and P. L. Lions, On existence and uniqueness of solutions of Hamilton-Jacobi equations, Non. Anal. Theor. Meth. Appl., 10 (1986), 353-370.
[8] M. G. Crandall and P. L. Lions, Hamilton-Jacobi equations in infinite dimensions, Part I: Uniqueness of viscosity solutions, J. Funct. Anal., 62 (1985), 379-396.
[9] M. G. Crandall and P. L. Lions, Hamilton-Jacobi equations in infinite dimensions, Part II: Existence of viscosity solutions, J. Funct. Anal., 65 (1986), 368-406.
[10] M. G. Crandall and P. L. Lions, Hamilton-Jacobi equations in infinite dimensions, Part III, J. Funct. Anal., 68 (1986), 214-247.
[11] H. Ishii, Remarks on existence of viscosity solutions of Hamilton-Jacobi equations, Bull. Fac. Sci. Eng. Chuo Univ., 26 (1983), 5-24.
[12] H. Ishii, Uniqueness of unbounded viscosity solution of Hamilton-Jacobi equations, Indiana Univ. Math. J., 33 (1984), 721-748.
[13] H. Ishii, Existence and uniqueness of solutions of Hamilton-Jacobi equations, Funkcial. Ekvac., 29 (1986), 167-188.
[14] H. Ishii, Representation of solutions of Hamilton-Jacobi equations, to appear in Non. Anal. Theor. Meth. Appl.
[15] H. Ishii, Perron's method for Hamilton-Jacobi equations, to appear in Duke Math. J.
[16] P. L. Lions, Generalized Solutions of Hamilton-Jacobi Equations, Pitman, London, 1982.
[17] P. L. Lions, Existence results for first-order Hamilton-Jacobi equations, Ricerche Mat. Napoli, 32 (1983), 1-23.
[18] P. E. Souganidis, Existence of viscosity solutions of Hamilton-Jacobi equations, J. Differential Equations, 56 (1985), 345-390.

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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