Remarks on elliptic singular perturbation problems

Hitoshi Ishii; Shigeaki Koike

doi:10.1007/BF01442390

Remarks on elliptic singular perturbation problems

Hitoshi Ishii^*, Shigeaki Koike

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

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 [3], [16], apply without hard PDE calculations. We treat two examples from [11] and [23]. Moreover, we generalize the results to those for Hamilton-Jacobi-Bellman equations with a small parameter.

Original language	English
Pages (from-to)	1-15
Number of pages	15
Journal	Applied Mathematics & Optimization
Volume	23
Issue number	1
DOIs	https://doi.org/10.1007/BF01442390
Publication status	Published - 1991 Jan 1
Externally published	Yes

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

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10.1007/BF01442390

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Remarks on elliptic singular perturbation problems

Abstract

ASJC Scopus subject areas

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