On decay of viscosity solutions to Hamilton--Jacobi equations with almost periodic initial data
Algebra i analiz, Tome 32 (2020) no. 4, pp. 217-233.

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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2020_32_4_a5/}
}
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E. Yu. Panov. On decay of viscosity solutions to Hamilton--Jacobi equations with almost periodic initial data. Algebra i analiz, Tome 32 (2020) no. 4, pp. 217-233. http://geodesic.mathdoc.fr/item/AA_2020_32_4_a5/

[1] Alvarez O., Bardi M., “Ergodicity, stabilization, and singular perturbations for Bellman–Isaacs equations”, Mem. Amer. Math. Soc., 204, no. 960, 2010, 1–77 | MR

[2] Arisawa M., Lions P. L., “On ergodic stochastic control”, Comm. Partial Differential Equations, 23:11-12 (1998), 2187–2217 | DOI | MR | Zbl

[3] Bardi M., Evans L. C., “On Hopf's formulas for solutions of Hamilton–Jacobi equations”, Nonlinear Anal., 8:11 (1984), 1373–1381 | DOI | MR | Zbl

[4] Crandal M. G., Lions P. L., “Viscosity solutions of Hamilton–Jacobi equations”, Trans. Amer. Math. Soc., 277 (1983), 1–42 | DOI | MR | Zbl

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

[6] Dafermos C. M., “Long time behavior of periodic solutions to scalar conservation laws in several space dimensions”, SIAM J. Math. Anal., 45 (2013), 2064–2070 | DOI | MR | Zbl

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

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

[9] Leng S., Algebra, Mir, M., 1968

[10] Levitan B. M., Zhikov V. V., Pochti periodicheskie funktsii i differentsialnye uravneniya, MGU, M., 1978

[11] Panov E. Yu., “On decay of periodic entropy solutions to a scalar conservation law”, Ann. Inst. H. Poincaré Anal. Non Linéaire, 30:6 (2013), 997–1007 | DOI | MR | Zbl

[12] Panov E. Yu., “On a condition of strong precompactness and the decay of periodic entropy solutions to scalar conservation laws”, Netw. Heterog. Media, 11:2 (2016), 349–367 | DOI | MR | Zbl

[13] Panov E. Yu., “On the Cauchy problem for scalar conservation laws in the class of Besicovitch almost periodic functions: global well-posedness and decay property”, J. Hyperbolic Differ. Equ., 13 (2016), 633–659 | DOI | MR | Zbl

[14] Panov E. Yu., “On almost periodic viscosity solutions to Hamilton–Jacobi equations”, Minimax Theory its Appl., 5:2 (2017) (to appear) ; arXiv: 1707.00145 | MR

[15] Pontryagin L. S., Nepreryvnye gruppy, Nauka, M., 1987 | MR

[16] Rokafellar R., Vypuklyi analiz, Mir, M., 1973