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Volumn , Issue , 2001, Pages 1-498

Handbook of first-order partial differential equations

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EID: 85057666052     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book
Times cited : (34)

References (91)
  • 2
    • 85057704535 scopus 로고    scopus 로고
    • Vanishing viscosity method and an explicit solution of the Riemann problem with the scalar conservation law
    • Andreyanov, B. P., Vanishing viscosity method and an explicit solution of the Riemann problem with the scalar conservation law, Moscow Univ. Math. Bulletin, No. 1, pp. 3-8, 1999.
    • (1999) Moscow Univ. Math. Bulletin , Issue.1 , pp. 3-8
    • Andreyanov, B.P.1
  • 3
    • 85057687167 scopus 로고
    • Traite de Mecanique Rationnelle, T. 1: Statique
    • (Ed. 6), Gauthier­ Villars, Paris
    • Appell, P., Traite de Mecanique Rationnelle, T. 1: Statique. Dinamyque du Point (Ed. 6), Gauthier­ Villars, Paris, 1953.
    • (1953) Dinamyque Du Point
    • Appell, P.1
  • 6
    • 0001324581 scopus 로고
    • On Hopi's formulas for solutions of Hamilton-jacobi equations
    • Bardi, M. and Evans, L. c., On Hopi's formulas for solutions of Hamilton-jacobi equations, Nonlinear Anal. Theory, Meth. and Appl., Vol. 8, No. 11, pp. 1373-1381, 1984.
    • (1984) Nonlinear Anal. Theory, Meth. and Appl , vol.8 , Issue.11 , pp. 1373-1381
    • Bardi, M.1    Evans, L.C.2
  • 8
    • 38249034806 scopus 로고
    • Generalized viscosity solutionsfor Hamilton-jacobi equations with time-measurable Hamiltonians
    • Barron, E. N. and Jensen, R., Generalized viscosity solutionsfor Hamilton-jacobi equations with time-measurable Hamiltonians, 1. Different. Equations, Vol. 68, No. 1, pp. 10-21, 1987.
    • (1987) Different. Equations , vol.68 , Issue.1 , pp. 10-21
    • Barron, E.N.1    Jensen, R.2
  • 10
    • 0003787146 scopus 로고
    • Pricenton Univ. Press, Pricenton, NJ
    • Bellman, R., Dynamic Programming, Pricenton Univ. Press, Pricenton, NJ, 1957.
    • (1957) Dynamic Programming
    • Bellman, R.1
  • 12
    • 85057691055 scopus 로고
    • Partial Differential Equations
    • New York
    • Courant, R., Partial Differential Equations, Inter Science, New York, 1962.
    • (1962) Inter Science
    • Courant, R.1
  • 13
    • 84968507121 scopus 로고
    • Some properties of viscosity solutions of Hamilton-jacobiequations
    • M. Crandall, Evans, L. C., and Lions, P.-L., Some properties of viscosity solutions of Hamilton-jacobiequations, Trans. Amer. Math. Soc., Vol. 283, No. 2, pp. 487-502, 1984.
    • (1984) Trans. Amer. Math. Soc. , vol.283 , Issue.2 , pp. 487-502
    • Crandall, M.1    Evans, L.C.2    Lions, P.-L.3
  • 14
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second orderpartial differential equations
    • M.H. Crandall, Ishii H., Lions P.-L., User's guide to viscosity solutions of second orderpartial differential equations, Bull. Amer. Math. Soc., Vol. 27, No. 1, pp. 1-67, 1992.
    • (1992) Bull. Amer. Math. Soc. , vol.27 , Issue.1 , pp. 1-67
    • Crandall, M.H.1    Ishii, H.2    Lions, P.-L.3
  • 15
    • 84967758647 scopus 로고
    • Viscosity solutions of Hamilton-jacobi equations
    • M. Crandall, and Lions, P.-L., Viscosity solutions of Hamilton-jacobi equations, Trans. Amer. Math. Soc., Vol. 277, No. 1, pp. 1-42, 1983.
    • (1983) Trans. Amer. Math. Soc. , vol.277 , Issue.1 , pp. 1-42
    • Crandall, M.1    Lions, P.-L.2
  • 18
    • 0000102846 scopus 로고
    • Differential games and representationformulasfo rsolutions of Hamilton-jacobi-Isaacs equations
    • Evans, L. C. and Souganidis, P. E., Differential games and representationformulasfo rsolutions of Hamilton-jacobi-Isaacs equations, Indiana Univ. Math. J., Vol. 33, No. 5, pp. 773-797, 1984.
    • (1984) Indiana Univ. Math. J , vol.33 , Issue.5 , pp. 773-797
    • Evans, L.C.1    Souganidis, P.E.2
  • 24
    • 0000088106 scopus 로고
    • Some problems of the theory of quasi-linear equations
    • [Amer. Math. Soc. Translation, Series 2, pp. 295-381, 1963]
    • M. Gelfand Some problems of the theory of quasi-linear equations, Uspekhi Matern. Nauk, Vol. 14, No. 2, pp. 87-158, 1959 [Amer. Math. Soc. Translation, Series 2, pp. 295-381, 1963].
    • (1959) Uspekhi Matern. Nauk , vol.14 , Issue.2 , pp. 87-158
    • Gelfand, M.1
  • 29
    • 84971142142 scopus 로고
    • A single fluid model for shock formation in MHD shock tubes
    • Hoffman, A. L., A single fluid model for shock formation in MHD shock tubes, J. Plasma Phys., Vol. 1, pp. 193-207, 1967.
    • (1967) J. Plasma Phys. , vol.1 , pp. 193-207
    • Hoffman, A.L.1
  • 30
    • 84980078224 scopus 로고
    • The partial differential equation Ut +UUx =µUxx, Communs
    • E. Hopf, The partial differential equation Ut +UUx =µUxx, Communs. Pure and Appl. Math., pp. 201-230, 1950.
    • (1950) Pure and Appl. Math. , pp. 201-230
    • Hopf, E.1
  • 31
    • 0000073921 scopus 로고
    • Generalized solutions of nonlinear equations offirst order
    • Hopf, E., Generalized solutions of nonlinear equations offirst order, J. Math. Mech., Vol. 14, pp. 951-973, 1965.
    • (1965) J. Math. Mech , vol.14 , pp. 951-973
    • Hopf, E.1
  • 32
    • 0010962499 scopus 로고
    • Representation ofsolutions ofHamilton-Jacobi equations
    • Ishii, H., Representation ofsolutions ofHamilton-Jacobi equations, Nonlinear Anal. Theory, Meth. and Appl., Vol. 12, No. 2, pp. 121-146, 1988.
    • (1988) Nonlinear Anal. Theory, Meth. and Appl , vol.12 , Issue.2 , pp. 121-146
    • Ishii, H.1
  • 40
    • 0011111938 scopus 로고
    • Generalized solutions of nonlinearfirst order equations with several variables
    • Russian
    • Kruzhkov, S. N., Generalized solutions of nonlinearfirst order equations with several variables, Mat. Sbornik, Vol. 70, pp. 394-415, 1966 [in Russian].
    • (1966) Mat. Sbornik , vol.70 , pp. 394-415
    • Kruzhkov, S.N.1
  • 41
    • 84956105326 scopus 로고
    • Generalized solutions of Hamilton-Jacobi equations of the eikonal type
    • Russian
    • Kruzhkov, S. N., Generalized solutions of Hamilton-Jacobi equations of the eikonal type, Mat. Sbornik, Vol. 27, pp. 406-446, 1975 [in Russian].
    • (1975) Mat. Sbornik , vol.27 , pp. 406-446
    • Kruzhkov, S.N.1
  • 43
    • 84980078953 scopus 로고
    • Week solutions of nonlinear hyperbolic equations and their numerical computation
    • Lax, P. D., Week solutions of nonlinear hyperbolic equations and their numerical computation, Communs. Pure and Appl. Math., Vol. 7, pp. 159-193, 1954.
    • (1954) Communs. Pure and Appl. Math , vol.7 , pp. 159-193
    • Lax, P.D.1
  • 47
    • 0017889140 scopus 로고
    • Cambridge Univer. Press, Cambridge
    • Lighthill, J., Waves in Fluids, Cambridge Univer. Press, Cambridge, 1978.
    • (1978) Waves in Fluids
    • Lighthill, J.1
  • 49
    • 0021453741 scopus 로고
    • Differential games, optimal control and directional derivatives of viscosity solutions of Bellman 's and Isaacs ' solutions
    • Lions, P.·L. and Souganidis, P. E., Differential games, optimal control and directional derivatives of viscosity solutions of Bellman 's and Isaacs ' solutions, SIAM J. Control and Optimization, Vol. 23, No. 4, 1985.
    • (1985) SIAM J. Control and Optimization , vol.23 , Issue.4
    • Lions, P.L.1    Souganidis, P.E.2
  • 52
    • 0040751570 scopus 로고    scopus 로고
    • Singular characteristics of the first order PDEs
    • Melikyan, A. A., Singular characteristics of the first order PDEs, Doklady Mathematics, Vol. 54, No. 3, pp. 831-834, 1996.
    • (1996) Doklady Mathematics , vol.54 , Issue.3 , pp. 831-834
    • Melikyan, A.A.1
  • 54
    • 84858583418 scopus 로고
    • Extending Cauchy 's method of characteristics fo r Hamilton-Jacobi equations
    • Miridi, S., Extending Cauchy 's method of characteristics fo r Hamilton-Jacobi equations, Stud. Cerc. Mat., Vol. 37, No. 6, pp. 555-565, 1985.
    • (1985) Stud. Cerc. Mat , vol.37 , Issue.6 , pp. 555-565
    • Miridi, S.1
  • 55
    • 43949163314 scopus 로고
    • CONVODE: A REDUCE package for solving differential equations
    • Moussiaux, A., CONVODE: a REDUCE package for solving differential equations, J. Compµ and Appl. Math., Vol. 48, pp. 157-165, 1993.
    • (1993) J. Compµ and Appl. Math , vol.48 , pp. 157-165
    • Moussiaux, A.1
  • 56
    • 85057677021 scopus 로고    scopus 로고
    • CONVODE: Un programme REDUCE pour la resolution des equations differentielles
    • Moussiaux, A., CONVODE: un programme REDUCE pour la resolution des equations differentielles, Didier Hatier, Bruxelles, 1996.
    • (1996) Didier Hatier, Bruxelles
    • Moussiaux, A.1
  • 58
    • 0002158469 scopus 로고
    • On Cauchy 's problemfor nonlinear equations in the class ofdiscontinuousfunctions
    • Russian
    • Oleinik, O. A., On Cauchy 's problemfor nonlinear equations in the class ofdiscontinuousfunctions, Doklady AN SSSR, Vol. 95, No. 3, pp. 451-454, 1954 [in Russian].
    • (1954) Doklady AN SSSR , vol.95 , Issue.3 , pp. 451-454
    • Oleinik, O.A.1
  • 59
    • 0002281210 scopus 로고
    • Discontinuous solutions of nonlinear differential equations
    • [Amer. Math. Soc. Translation, Series 2, Vol. 26, pp. 95-172, 1963]
    • Oleinik, O. A., Discontinuous solutions of nonlinear differential equations, Uspekhi Matern. Nauk, Vol. 12, No. 3, pp. 3-73, 1957 [Amer. Math. Soc. Translation, Series 2, Vol. 26, pp. 95-172, 1963].
    • (1957) Uspekhi Matern. Nauk , vol.12 , Issue.3 , pp. 3-73
    • Oleinik, O.A.1
  • 60
    • 0008118805 scopus 로고
    • On uniqueness and stability ofa general solution ofCauchy 's problem ofquasilinear equations
    • Russian
    • Oleinik, O. A., On uniqueness and stability ofa general solution ofCauchy 's problem ofquasilinear equations, Uspekhi Matern. Nauk, Vol. 14, No. 2, pp. 159-164, 1959 [in Russian].
    • (1959) Uspekhi Matern. Nauk , vol.14 , Issue.2 , pp. 159-164
    • Oleinik, O.A.1
  • 67
    • 85057708137 scopus 로고    scopus 로고
    • Solving Ordinary Differential Equations
    • M. J. Wester (editor), John Wiley & Sons, Chichester
    • Postel, F. and Zimmermann, P., Solving Ordinary Differential Equations, in: M. J. Wester (editor), Computer Algebra Systems: A Practical Guide, John Wiley & Sons, Chichester, 1999.
    • (1999) Computer Algebra Systems: A Practical Guide
    • Postel, F.1    Zimmermann, P.2
  • 79
    • 15744376202 scopus 로고
    • Method ofcharacteristics and generalized solutions ofHamilton-Jacobi-Bellman equations
    • Russian
    • Subbotina, N. N., Method ofcharacteristics and generalized solutions ofHamilton-Jacobi-Bellman equations, Doklady AN SSSR, Vol. 320, No. 3, pp. 556-561, 1991 [in Russian].
    • (1991) Doklady AN SSSR , vol.320 , Issue.3 , pp. 556-561
    • Subbotina, N.N.1
  • 81
    • 0011508357 scopus 로고
    • On an irregular differential game
    • Taras'ev, A. M., On an irregular differential game, Appl. Math. and Mech. (PMM), Vol. 49, No. 4, pp. 682-684, 1985.
    • (1985) Appl. Math. and Mech. (PMM) , vol.49 , Issue.4 , pp. 682-684
    • Taras'ev, A.M.1
  • 83
    • 33645927252 scopus 로고
    • On discontinuous solutions offirst order quasilinear equations
    • Russian
    • Tikhonov, A. N. and Samarskii, A. A., On discontinuous solutions offirst order quasilinear equations, Doklady AN SSSR, Vol. 99, No. 1, pp. 27-30, 1954 [in Russian].
    • (1954) Doklady AN SSSR , vol.99 , Issue.1 , pp. 27-30
    • Tikhonov, A.N.1    Samarskii, A.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.