Genuinely Nonlinear Scalar Conservation Laws

Author:

Dafermos Constantine M.

Publisher

Springer Berlin Heidelberg

Reference69 articles.

1. Hopf, E.: The partial differential equation u, + uu,- = µu,,. Comm. Pure Appl. Math. 3 (1950), 201–230.

2. Oleinik, O.A.: The Cauchy problem for nonlinear equations in a class of discontinuous functions. Dokl. Akad. Nauk SSSR 95 (1954), 451–454. English translation: AMS Translations, Ser. I1, 42, 7–12.

3. Oleinik, O.A.: Discontinuous solutions of non-linear differential equations. Usp. Mat. Nauk 12 (1957), 3–73. English translation: AMS Translations, Ser. II, 26, 95–172.

4. Oleinik, O.A.: Uniqueness and stability of the generalized solution of the Cauchy problem for quasi-linear equation. Usp. Mat. Nauk 14 (1959), 165–170. English translation: AMS Translations, Ser. II, 33, 285–290.

5. Friedrichs, K.O. and P.D. Lax: Systems of conservation equations with a convex extension. Proc. Natl. Acad. Sc1. USA 68 (1971), 1686–1688.

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