Geodesic
Discontinuous gradient differential equations and trajectories in calculus of variations
Sbornik. Mathematics, Tome 197 (2006) no. 12, pp. 1723-1751 Cet article a éte moissonné depuis la source Math-Net.Ru

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     title = {Discontinuous gradient differential equations and trajectories in calculus of variations},
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     url = {http://geodesic.mathdoc.fr/item/SM_2006_197_12_a1/}
}
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I. A. Bogaevsky. Discontinuous gradient differential equations and trajectories in calculus of variations. Sbornik. Mathematics, Tome 197 (2006) no. 12, pp. 1723-1751. http://geodesic.mathdoc.fr/item/SM_2006_197_12_a1/

[1] I. A. Bogaevsky, “Perestroikas of shocks and singularities of minimum functions”, Physica D: Nonlinear Phenomena, 173:1–2 (2002), 1–28 | DOI | MR | Zbl

[2] R. Rokafellar, Vypuklyi analiz, Mir, M., 1973 | MR | Zbl

[3] U. Frisch, J. Bec, “Burgulence”, New trends in turbulence (Les Houches, 2000), eds. M. Lesieur, A. Yaglom, F. David, EDP Sci., Les Ulis, 2001, 341–383 ; arXiv: nlin.CD/0012033 | MR | Zbl

[4] S. N. Gurbatov, A. N. Malakhov, A. I. Saichev, Nelineinye sluchainye volny v sredakh bez dispersii, Sovremennye problemy fiziki, 81, Nauka, M., 1990 | MR | Zbl

[5] S. N. Kruzhkov, “Obobschennye resheniya nelineinykh uravnenii pervogo poryadka so mnogimi nezavisimymi peremennymi. I”, Matem. sb., 70(112):3 (1966), 394–415 | MR | Zbl

[6] S. N. Kruzhkov, “Obobschennye resheniya nelineinykh uravnenii pervogo poryadka so mnogimi nezavisimymi peremennymi. II”, Matem. sb., 72(114):1 (1967), 108–134 | MR | Zbl

[7] M. G. Crandall, L. C. Evans, P.-L. Lions, “Some properties of viscosity solutions of Hamilton–Jacobi equations”, Trans. Amer. Math. Soc., 282:2 (1984), 487–502 | DOI | MR | Zbl

[8] L. C. Evans, P. E. Souganidis, “Differential games and representation formulas for solutions of Hamilton–Jacobi–Isaacs equations”, Indiana Univ. Math. J., 33:5 (1984), 773–797 | DOI | MR