The Neumann Problem for Nonlinear Second Order Singular Perturbation Problems

DOI10.1137/0519022zbMath0664.35003OpenAlexW2031371204MaRDI QIDQ3814091

Richard Sanders, Perthame, Benoît

Publication date: 1988

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0519022

zbMATH Keywords

rate of convergencesingular perturbationfinite difference approximationsNeumann problemlimit solutionoptimal stochastic controlabstract theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (9)

Fully nonlinear Neumann type boundary conditions for first-order Hamilton–Jacobi equations ⋮ User’s guide to viscosity solutions of second order partial differential equations ⋮ A priori error estimates for numerical methods for scalar conservation laws. Part I: The general approach ⋮ Viscosity solutions of fully nonlinear second-order elliptic partial differential equations ⋮ Continuous dependence results for non-linear Neumann type boundary value problems ⋮ A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. Part I: The steady state case ⋮ Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations ⋮ Eponential Decay To Stable States In Phase Transitions Via A Double Log–Transformation ⋮ Perturbed Dynamical Systems with an Attracting Singularity and Weak Viscosity Limits in Hamilton-Jacobi Equations

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