Conservation laws with continuous flux functions

Nonlinear Differential Equations and Applications

Volumn 3, Issue 4, 1996, Pages 395-419

  Bénilan, Philippe ^a   Kružkov, Stanislzav ^b  

^a URA CNRS 741   (France)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042967179     PISSN: 10219722     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01193828     Document Type: Article

References (17)

1. L. BARTHÉLEMY, Problème d'obstacle pour une équation quasilinéaire du premier ordre, Ann. Fac. Sci. Toulouse 9 2, 137-159 (1988)
2. Ph. BÉNILAN, Equations d'évolution dans un espace de Banach quelconque et applications. Thèse Doctorat d'Etat, Université Paris Orsay, 1972
3. 1, (in preparation)
4. M.G. CRANDALL, The semigroup approach to first order quasilinear equations in several spaces variables, Israel J. Math. 12, 108-122 (1972)
5. S.N. KRUŽKOV, Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications, Mat. Zam. 6 1, 97-98 (1969); English tr. in Math. Notes, V 6, 517-523 (1969)
6. S.N. KRUŽKOV, Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications, Mat. Zam. 6 1, 97-98 (1969); English tr. in Math. Notes, V 6, 517-523 (1969)
7. S.N. KRUŽKOV, Generalized solutions of the Cauchy problem in the large for nonlinear equations of first order., Dokl. Akad. Nauk SSSR 187 1, 29-32 (1969); English tr. in Soviet Math. Dokl. 10 (1969)
8. S.N. KRUŽKOV, Generalized solutions of the Cauchy problem in the large for nonlinear equations of first order., Dokl. Akad. Nauk SSSR 187 1, 29-32 (1969); English tr. in Soviet Math. Dokl. 10 (1969)
9. S.N. KRUŽKOV, First order quasilinear equation in several independent variables. Mat. Sbornik 81 2, 228-255 (1970); English tr. in Math. USSR Sb. 10 (1970)
10. S.N. KRUŽKOV, First order quasilinear equation in several independent variables. Mat. Sbornik 81 2, 228-255 (1970); English tr. in Math. USSR Sb. 10 (1970)
11. S.N. KRUŽKOV, P.A. ANDREJANOV, On the nonlocal theory of the Cauchy problem for quasi-linear equations of first order in the class of locally sommable functions, Dokl. Akad. Nauk SSSR 220 1, 23-26 (1975); English tr. in Soviet Math. Dokl. 16 (1975)
12. S.N. KRUŽKOV, P.A. ANDREJANOV, On the nonlocal theory of the Cauchy problem for quasi-linear equations of first order in the class of locally sommable functions, Dokl. Akad. Nauk SSSR 220 1, 23-26 (1975); English tr. in Soviet Math. Dokl. 16 (1975)
13. S.N. KRUŽKOV, F. HILDEBRAND, The Cauchy problem for quasilinear first order equations in the case the domain of dependance on initial date is infinite, Vestnik Mosc. Univ. 1, 93-100 (1974); English tr. in Moscow Univ. Math. Bull. 29 (1974)
14. S.N. KRUŽKOV, F. HILDEBRAND, The Cauchy problem for quasilinear first order equations in the case the domain of dependance on initial date is infinite, Vestnik Mosc. Univ. 1, 93-100 (1974); English tr. in Moscow Univ. Math. Bull. 29 (1974)
15. S.N. KRUŽKOV, E.YU. PANOV, Conservative quasilinear first-order laws with an infinite domain of dependance in the initial data, Dokl. Akad. Nauk. SSSR 314, 1 (1990); English tr. in Soviet Math. Dokl. 42 2, 316-321 (1991)
16. S.N. KRUŽKOV, E.YU. PANOV, Conservative quasilinear first-order laws with an infinite domain of dependance in the initial data, Dokl. Akad. Nauk. SSSR 314, 1 (1990); English tr. in Soviet Math. Dokl. 42 2, 316-321 (1991)
17. E.YU. PANOV. Generalized solutions of the Cauchy problem for quasilinear conservation laws. PhD dissertation, Fac. Mech. and Math. Moscow State Lomonossov University.