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Regularity of Supersolutions

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Book cover Regularity Estimates for Nonlinear Elliptic and Parabolic Problems

Part of the book series: Lecture Notes in Mathematics ((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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Norwegian University of Science and Technology, 7491, Trondheim, Norway

    Peter Lindqvist

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  1. Peter Lindqvist
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Correspondence to Peter Lindqvist .

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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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