@article{UMJ_2015_1_1_a4,
author = {Ekaterina A. Kolpakova},
title = {On connections between generalized solutions of {PDE's} of the first order},
journal = {Ural mathematical journal},
pages = {55--60},
year = {2015},
volume = {1},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UMJ_2015_1_1_a4/}
}
Ekaterina A. Kolpakova. On connections between generalized solutions of PDE's of the first order. Ural mathematical journal, Tome 1 (2015) no. 1, pp. 55-60. http://geodesic.mathdoc.fr/item/UMJ_2015_1_1_a4/
[1] Subbotin A.I., Generalized Solutions of First-Order PDEs. The Dynamical Optimization Perspective., Birkhauser, Boston etc., 1995, 312 pp.
[2] Lions P.L., Generalized solutions of Hamilton-Jacobi equations, Pitman, Boston, 1982, 318 pp.
[3] Kruzhkov S.N., “Generalized solutions of nonlinear first order equations with several independent variables. II”, Mat. Sb. (N.S.), 72(114):1 (1967), 108–134 | MR | Zbl
[4] Rozhdestvenskii B.L., Yanenko N.N., Systems of quasilinear equations and their applications to gas dynamics, Nauka, Moscow, 1978, 686 pp.
[5] Subbotina N., Kolpakova E., “On Structure of the Value Function”, Proceedings of the 18-th World Congress IFAC (Milan, Italy, 2011), v. I
[6] Dafermos C.D., Hyperbolic conservation law in continuum physics, Springer-Verlag, Berlin, Heidelberg, 2005, 708 pp.
[7] Oleinik O.A., Kruzhkov S.N., “Quasi-linear second-order parabolic equations with many independent variables”, Uspekhi Mat. Nauk, 16:5(101) (1961), 115–155 | MR | Zbl
[8] Ladyzhenskaya O.A., Solonnikov V.A., Uralceva N.N., Linear and quasilinear equations of parabolic type, Nauka, M., 1967, 736 pp.
[9] Aliprantis C.D., Border K.C, Infinite Dimensional Analysis, Springer, Berlin–Heidelberg–New York, 2006, 717 pp.
[10] Warga J., Optimal control of differential and functional equation, Academic Press, New York–London, 1972, 531 pp.