Discontinuous gradient differential equations and trajectories in the calculus of variations

Sbornik Mathematics

Volumn 197, Issue 11-12, 2006, Pages 1723-1751

  Bogaevsky, I A ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34147111319     PISSN: 10645616     EISSN: 14684802     Source Type: Journal    
DOI: 10.1070/SM2006v197n12ABEH003820     Document Type: Article

References (9)

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3. U. Frisch and J. Bee, "Burgulence", New trends in turbulence (Les Houches, 2000), EDP Sci., Les Ulis 2001, pp. 341-383; arXiv: nlin.CD/0012033.
4. S. N. Gurbatov, A. N. Malakhov, and A. I. Saichev, Nonlinear random waves and turbulence in nondispersive media: waves, rays, particles, Sovrem. Probl. Fiz., vol. 81, Nauka, Moscow 1990; English transl., Manchester Univ. Press, Manchester 1991.
5. S. N. Kruzhkov, "Generalized solutions of nonlinear first order equations with several independent variables. I", Mat. Sb. 70(112):3(7) (1966), 394-415. (Russian)
6. S. N. Kruzhkov, "Generalized solutions of nonlinear first order equations with several independent variables, II.", Mat. Sb. 72(114):1 (1967), 108-134;
7. English transl, in Math. USSR-Sb. 1:1 (1967), 93-116.
8. M. G. Crandall, L. C. Evans, and P.-L. Lions, "Some properties of viscosity solutions of Hamilton-Jacobi equations", Trans. Amer. Math. Soc. 282:2 (1984), 487-502.
9. L. C. Evans and P. E. Souganidis, "Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations", Indiana Univ. Math. J. 33:5 (1984), 773-797.