Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 20.12.1960
Phone: +7 (81622) 5 95 54, +7 (8162) 61 66 85
Fax: +7 (81622) 2 41 10
E-mail:
Keywords: first-order quasilinear equations, generalized solutions, measure valued solutions, Cauchy problem, boundary value problems.
UDC: 517.956.35, 517.957, 517.95
MSC: 35L60, 35L65, 35L67, 47H20

Subject:

Nonlinear first-order partial differential equations.

Main publications:

1. 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      
2. 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      
3. 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
4. Panov, E.Yu., “On the Dirichlet problem for first order quasilinear equations on a manifold”, Trans. Am. Math. Soc., 363:5 (2011), 2393–2446
5. 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

Publications in Math-Net.Ru

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• Novgorod State University after Yaroslav the Wise
• Peoples' Friendship University of Russia named after Patrice Lumumba, Moscow
• Saint Petersburg State University