The Neumann Problem for Nonlinear Second Order Singular Perturbation Problems.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Pagination or Media Count:
Singularly perturbed second order elliptic partial differential equations with Neumann boundary conditions arise in many areas of application. These problems rarely have smooth limit solutions. In this paper, the author characterize the limit solution for a wide class of such problems. They also give an abstract rate of convergence theorem and apply the abstract theorem to certain finite difference approximations. Keywords Viscosity solution and Viscosity inequalities.
- Fluid Mechanics