Remarks on elliptic singular perturbation problems

Hitoshi Ishii*, Shigeaki Koike

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


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 languageEnglish
Pages (from-to)1-15
Number of pages15
JournalApplied Mathematics & Optimization
Issue number1
Publication statusPublished - 1991 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics


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