An error of the method of vanishing viscosity of the first-order hamilton-jacobi equations

  • Hong, Bum-Il (Dept. of Math. and Institute of Natural Sciences, Kyung Hee University, Yoing-In Kyunggi-Do 449-701) ;
  • Ha, Sung-Nam (Dept. of Math. and Institute of Natural Sciences, Kyung Hee University, Yoing-In Kyunggi-Do 449-701) ;
  • Park, Jeongwhan (Department of Mathematics Korea University, Seoul 136-701)
  • Published : 1997.02.01

Abstract

In this paper, we study an error of vanishing viscosity method for the first-order Hamilton-Jacobi equations.

Keywords

References

  1. Tran. Amer. Math. Soc. v.277 Viscosity solutions of Hamilton-Jacobi equations M. G. Crandall;P. L. Lions
  2. Bull. Austral. Math. Soc. v.51 Regularity for Hamilton-Jacobi equations via approximation B. I. Hong
  3. Pitman Research Notes Series Generalized solutions of Hamilton-Jacobi equations P. L. Lions
  4. J. Differential Equations v.56 Existence of Viscosity solutions of Hamilton-Jacobi equations in one space demension P. E. Souganidis