On the strong pre-compactness property for entropy solutions of a degenerate elliptic equation with discontinuous flux

DOI10.1016/j.jde.2009.08.022zbMath1185.35100OpenAlexW2068763615MaRDI QIDQ1038500

Evgeny Yu. Panov

Publication date: 18 November 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.08.022

zbMATH Keywords

entropy solutionsmeasure-valued solutionslocalization principlessemi-linear elliptic equations\(H\)-measuresstrong pre-compactness

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) Semilinear elliptic equations (35J61)

Related Items (5)

Entropy formulation of degenerate parabolic equation with zero-flux boundary condition ⋮ Ultra-parabolic \(H\)-measures and compensated compactness ⋮ On the existence, uniqueness and stability of entropy solutions to scalar conservation laws ⋮ Influence of a slow moving vehicle on traffic: well-posedness and approximation for a mildly nonlocal model ⋮ Explicit formulation for the Dirichlet problem for parabolic-hyperbolic conservation laws

Cites Work

• Existence and strong pre-compactness properties for entropy solutions of a first-order quasilinear equation with discontinuous flux
• Ordinary differential equations, transport theory and Sobolev spaces
• Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux
• Measure-valued solutions to conservation laws
• On the existence and compactness of a two-dimensional resonant system of conservation laws
• H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
• Microlocal defect measures
• A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
• Property of strong precompactness for bounded sets of measure-valued solutions of a first-order quasilinear equation
• On strong precompactness of bounded sets of measure-valued solutions of a first order quasilinear equation
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
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