E. Yu. Panov, “On generalized entropy solutions of the Cauchy problem for a first order quasilinear equation in the class of locally summable functions”, Izvestiya: Mathematics, 66:6 (2002), 1171–1218
E. Yu. Panov, “Existence of strong traces for quasi-solutions of multidimensional scalar conservation laws”, J. of Hyperbolic Differential Equations, 4:4 (2007), 729–770
Panov, E.Yu., “Existence and strong pre-compactness properties for entropy solutions of a first-order quasilinear equation with discontinuous flux”, Arch. Ration. Mech. Anal., 195:2 (2010), 643–673
Panov, E.Yu., “On the Dirichlet problem for first order quasilinear equations on a manifold”, Trans. Am. Math. Soc., 363:5 (2011), 2393–2446
Panov, Evgeniy, “On weak completeness of the set of entropy solutions to a degenerate nonlinear parabolic equation”, SIAM J. Math. Anal., 44:1 (2012), 513–535
E. Yu. Panov, “On the theory of entropy sub- and supersolutions of nonlinear degenerate parabolic equations”, CMFD, 69:2 (2023), 306–331
2021
4.
L. V. Gargyants, A. Yu. Goritsky, E. Yu. Panov, “Constructing unbounded discontinuous solutions of scalar conservation laws using the Legendre transform”, Mat. Sb., 212:4 (2021), 29–44; Sb. Math., 212:4 (2021), 475–489
E. Yu. Panov, “On decay of viscosity solutions to Hamilton–Jacobi equations with almost periodic initial data”, Algebra i Analiz, 32:4 (2020), 217–233; St. Petersburg Math. J., 32:4 (2021), 767–779
6.
E. Yu. Panov, “On the theory of entropy solutions of nonlinear degenerate parabolic equations”, CMFD, 66:2 (2020), 292–313
E. Yu. Panov, “The Cauchy problem for a first-order quasilinear equation in the class of Besicovitch almost periodic functions”, Mat. Sb., 208:8 (2017), 126–144; Sb. Math., 208:8 (2017), 1207–1224
2016
8.
E. Yu. Panov, “Long Time Asymptotics of Periodic Generalized Entropy Solutions of Scalar Conservation Laws”, Mat. Zametki, 100:1 (2016), 133–143; Math. Notes, 100:1 (2016), 113–122
E. Yu. Panov, “Renormalized entropy solutions of the Cauchy problem for a first-order inhomogeneous quasilinear equation”, Mat. Sb., 204:10 (2013), 91–126; Sb. Math., 204:10 (2013), 1480–1515
2008
10.
E. Yu. Panov, “On the symmetrizability of hyperbolic matrix spaces”, Algebra i Analiz, 20:3 (2008), 187–196; St. Petersburg Math. J., 20:3 (2009), 465–471
2007
11.
M. V. Korobkov, E. Yu. Panov, “Necessary and sufficient conditions for a curve to be the gradient range of a $C^1$-smooth function”, Sibirsk. Mat. Zh., 48:4 (2007), 789–810; Siberian Math. J., 48:4 (2007), 629–647
E. Yu. Panov, “On well-posedness classes of locally bounded generalized entropy solutions of the Cauchy problem for quasilinear first-order equations”, Fundam. Prikl. Mat., 12:5 (2006), 175–188; J. Math. Sci., 150:6 (2008), 2578–2587
M. V. Korobkov, E. Yu. Panov, “Isentropic solutions of quasilinear equations of the first order”, Mat. Sb., 197:5 (2006), 99–124; Sb. Math., 197:5 (2006), 727–752
E. Yu. Panov, “On generalized entropy solutions of the Cauchy problem for a first-order quasilinear equation
in the class of locally summable functions”, Izv. RAN. Ser. Mat., 66:6 (2002), 91–136; Izv. Math., 66:6 (2002), 1171–1218
E. Yu. Panov, “Maximum and minimum generalized entropy solutions to the Cauchy problem
for a first-order quasilinear equation”, Mat. Sb., 193:5 (2002), 95–112; Sb. Math., 193:5 (2002), 727–743
A. Yu. Goritskii, E. Yu. Panov, “Locally Bounded Generalized Entropy Solutions to the Cauchy Problem for a First-Order Quasilinear Equation”, Trudy Mat. Inst. Steklova, 236 (2002), 120–133; Proc. Steklov Inst. Math., 236 (2002), 110–123
E. Yu. Panov, “A Remark on the Theory of Generalized Entropy Sub- and Supersolutions of the Cauchy Problem for a First-Order Quasilinear Equation”, Differ. Uravn., 37:2 (2001), 252–259; Differ. Equ., 37:2 (2001), 272–280
E. Yu. Panov, “On the theory of generalized entropy solutions of the Cauchy problem for a class of non-strictly hyperbolic systems of conservation laws”, Mat. Sb., 191:1 (2000), 127–157; Sb. Math., 191:1 (2000), 121–150
E. Yu. Panov, “A non-local theory of generalized entropy solutions of the Cauchy problem for a class of hyperbolic systems of conservation laws”, Izv. RAN. Ser. Mat., 63:1 (1999), 133–184; Izv. Math., 63:1 (1999), 129–179
E. Yu. Panov, “Property of strong precompactness for bounded sets of measure-valued solutions of a first-order quasilinear equation”, Mat. Sb., 190:3 (1999), 109–128; Sb. Math., 190:3 (1999), 427–446
E. Yu. Panov, “On kinetic interpretation of measure valued solutions to Cauchy problem for a first order quasilinear equation”, Fundam. Prikl. Mat., 4:1 (1998), 317–332
E. Yu. Panov, “On the Cauchy problem for a first-order quasilinear equation on a manifold”, Differ. Uravn., 33:2 (1997), 257–266; Differ. Equ., 33:2 (1997), 257–266
E. Yu. Panov, “An approximation scheme for measure-valued solutions of a first-order quasilinear equation”, Mat. Sb., 188:1 (1997), 83–108; Sb. Math., 188:1 (1997), 87–113
1996
26.
E. Yu. Panov, “On measure-valued solutions of the Cauchy problem for a first-order quasilinear equation”, Izv. RAN. Ser. Mat., 60:2 (1996), 107–148; Izv. Math., 60:2 (1996), 335–377
E. Yu. Panov, “Generalized solutions of the Cauchy problem for some classes of first-order hyperbolic systems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 6, 75–77
E. Yu. Panov, “On strong precompactness of bounded sets of measure-valued solutions of a first order quasilinear equation”, Mat. Sb., 186:5 (1995), 103–114; Sb. Math., 186:5 (1995), 729–740
E. Yu. Panov, “Uniqueness of the solution of the Cauchy problem for a first order quasilinear equation with one admissible strictly convex entropy”, Mat. Zametki, 55:5 (1994), 116–129; Math. Notes, 55:5 (1994), 517–525
E. Yu. Panov, “Strong measure-valued solutions of the Cauchy problem for a first-order quasilinear equation with a bounded measure-valued initial function”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, no. 1, 20–23
S. N. Kruzhkov, E. Yu. Panov, “First-order conservative quasilinear laws with an infinite domain
of dependence on the initial data”, Dokl. Akad. Nauk SSSR, 314:1 (1990), 79–84; Dokl. Math., 42:2 (1991), 316–321
E. Yu. Panov, “On the Cauchy problem for a first-order quasi-linear equation in the class of locally integrable functions”, Uspekhi Mat. Nauk, 43:1(259) (1988), 205–206; Russian Math. Surveys, 43:1 (1988), 249–250
1998
34.
N. S. Bakhvalov, M. I. Zelikin, A. S. Kalashnikov, V. L. Kamynin, O. A. Oleinik, E. Yu. Panov, N. S. Petrosyan, V. M. Tikhomirov, A. V. Faminskii, V. N. Chubarikov, “Stanislav Nikolaevich Kruzhkov (obituary)”, Uspekhi Mat. Nauk, 53:5(323) (1998), 213–220; Russian Math. Surveys, 53:5 (1998), 1071–1078
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