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Original Articles

On representation formula for solutions of Hamilton‐Jacobi equation for some types of initial conditions

Pages 241-250 | Received 02 Jun 2001, Published online: 14 Oct 2010

References

  • Bardi , M. and Evans , L.C. 1984 . On Hopf s formulas for solutions of Hamilton‐Jacobi equations . Non. Analysis , 8 (11) : 1373 – 1381 .
  • Crandall , M.G. and Lions , P.L. 1983 . Some properties of viscosity solutions of Hamilton‐Jacobi equations . Trans. Amer. Math Soc. , 277 : 1 – 42 .
  • Crandall , M.G. , Ishii , H. and Lions , P.L. 1992 . User's guide to viscosity solutions . Bulletin of the Amer. Math. Soc , 27 (1) : 1 – 67 .
  • Douglis , A. 1965 . Solutions in the large for multi‐dimensional nonlinear partial deferential equations of first order . Ann. Inst. Fourier, Grenoble , 15 (2) : 1 – 35 .
  • Gudynas , G. 1990 . Generalized solutions of non‐linear equations of first order with the bounded and lower semicontinous initial function 1 – 35 . Vilnius Preprint, (in Russian)
  • Gudynas , G. 2001 . Representation formula for solutions of Eikonal type . Nonlinear Analysis: Modeling and control , 6 : 49 – 56 .
  • Hopf , E. 1965 . Generalized solutions of non‐linear equations of 1 order . Journ. of Math, and Mech. , 14 (6) : 951 – 974 .
  • Ishii , H. 1986 . Representation of solutions of of Hamilton‐Jacobi equations . Non. Analy‐sis:Modeling and Control , 12 (2) : 121 – 146 .
  • Kruzkov , S.N. 1966 . Generalized solutions of the multi‐dimensional nonlinear partial differential equations of first order. I . Math, sbornik , 70 (112) : 394 – 415 .
  • Kruzkov , S.N. 1967 . Generalized solutions of the multi‐dimensional nonlinear partial differential equations of first order . II Math, sbornik , 72 (114) : 108 – 134 .

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