An Error Estimate for Viscous Approximate Solutions of Degenerate Parabolic Equations

DOI10.2991/jnmp.2002.9.3.3zbMath1183.35180arXivmath/0302038OpenAlexW2119039170MaRDI QIDQ4780631

Steinar Evje, Kenneth Hvistendahl Karlsen

Publication date: 20 November 2002

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0302038

zbMATH Keywords

error estimatenonlinear strongly degenerate parabolic equationsviscous approximations of entropy solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Theoretical approximation in context of PDEs (35A35) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

𝐿¹ error estimates for difference approximations of degenerate convection-diffusion equations, A multilevel Monte Carlo finite difference method for random scalar degenerate convection–diffusion equations, An error estimate for the finite difference approximation to degenerate convection-diffusion equations, On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions

Cites Work

• Continuous dependence on the nonlinearities of solutions of degenerate parabolic equations
• Entropy solutions for nonlinear degenerate problems
• On strongly degenerate convection-diffusion problems modeling sedimentation-consolidation processes
• \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations
• Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients
• A posteriorierror estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations
• Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation
• On the uniqueness of the solution of the evolution dam problem
• Solution forte entropique de lois scalaires hyperboliques-paraboliques dégénérées
• THE SPACES $ BV$ AND QUASILINEAR EQUATIONS
• CAUCHY'S PROBLEM FOR DEGENERATE SECOND ORDER QUASILINEAR PARABOLIC EQUATIONS
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES