Remarks on elliptic singular perturbation problems
- Cite this article as:
- Ishii, H. & Koike, S. Appl Math Optim (1991) 23: 1. doi:10.1007/BF01442390
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We show the effectiveness of viscosity-solution methods in asymptotic problems for second-order elliptic partial differential equations (PDEs) with a small parameter. Our stress here is on the point that the methods, based on stability results , , apply without hard PDE calculations. We treat two examples from  and . Moreover, we generalize the results to those for Hamilton—Jacobi—Bellman equations with a small parameter.