A variational representation of solutions to a certain hyperbolic system of equations by using a logarithmic potential in the external field

DOI10.1134/S1064562406040028zbMath1152.35072MaRDI QIDQ2477442

Yu. G. Rykov, Alexander I. Aptekarev

Publication date: 13 March 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

non-divergence formequilibrium potentialLax-Oleinik principle

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60)

Related Items (2)

Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations ⋮ Direct and inverse problems for vector logarithmic potentials with external fields

Cites Work

• Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice
• Hyperbolic systems of conservation laws II
• A continuum limit of the Toda lattice

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