Remarks on elliptic singular perturbation problems

Hitoshi Ishii, Shigeaki Koike

研究成果: Article査読

14 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)1-15
ページ数15
ジャーナルApplied Mathematics & Optimization
23
1
DOI
出版ステータスPublished - 1991 1 1
外部発表はい

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics

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