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Regularity of Supersolutions

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 2045)

Abstract

The modern theory of viscosity solutions, created by Lions, Crandall, Evans, Ishii, Jensen, and others, relies on the appropriately defined viscosity supersolutions, which are merely lower semicontinuous functions by their definition. For second order equations, these are often the same functions as those supersolutions that are encountered in potential theory.

Keywords

  • Comparison Principle
  • Obstacle Problem
  • Lebesgue Point
  • Parabolic Boundary
  • Superharmonic Function

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Lindqvist, P. (2012). Regularity of Supersolutions. In: Regularity Estimates for Nonlinear Elliptic and Parabolic Problems. Lecture Notes in Mathematics(), vol 2045. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27145-8_2

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