User’s guide to viscosity solutions of second order partial differential equations

Michael G. Crandall, Hitoshi Ishii, Pierre Louis Lions

研究成果: Article査読

2919 被引用数 (Scopus)

抄録

The notion of viscosity solutions of scalar fully nonlinear partial differential equations of second order provides a framework in which startling comparison and uniqueness theorems, existence theorems, and theorems about continuous dependence may now be proved by very efficient and striking arguments. The range of important applications of these results is enormous. This article is a self-contained exposition of the basic theory of viscosity solutions.

本文言語English
ページ(範囲)1-67
ページ数67
ジャーナルBulletin of the American Mathematical Society
27
1
DOI
出版ステータスPublished - 1992
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)
  • 応用数学

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