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

2710 引用 (Scopus)

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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.

元の言語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
発行部数1
DOI
出版物ステータスPublished - 1992
外部発表Yes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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