Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
Yun-Gang Chen, Yoshikazu Giga, and Shun'ichi Goto
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 65, Number 7
(1989), 207-210.
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Permanent link to this document: http://projecteuclid.org/euclid.pja/1195512765
Mathematical Reviews number (MathSciNet): MR1030181
Zentralblatt MATH identifier: 0735.35082
Digital Object Identifier: doi:10.3792/pjaa.65.207
References
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Zentralblatt MATH: 0749.58054
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Zentralblatt MATH: 0621.53001
Project Euclid: euclid.jdg/1214439902
[4] M. Grayson: The heat equation shrinks embedded plane curves to points, ibid., 26,285-314 (1987).
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Project Euclid: euclid.jdg/1214441371
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Project Euclid: euclid.jdg/1214438998
[6] H. Ishii: On uniqueness and existence of viscosity solutions of fully nonlinear second order elliptic PDE's. Comm. Pure Appl. Math., 42, 15-45 (1989).
Mathematical Reviews (MathSciNet): MR973743
Zentralblatt MATH: 0645.35025
Digital Object Identifier: doi:10.1002/cpa.3160420103
[7] H. Ishii and P. L. Lions: Viscosity solutions of fully nonlinear second-order elliptic partial differential equations. J. Diff. Eq. (in press).
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[8] R. Jensen: The maximum principle for viscosity solutions of fully nonlinear second-order partial differential equations. Arch. Rational Mech. Anal., 101, 1-27 (1988).
Mathematical Reviews (MathSciNet): MR920674
Zentralblatt MATH: 0708.35019
Digital Object Identifier: doi:10.1007/BF00281780
Proceedings of the Japan Academy, Series A, Mathematical Sciences
