Viscosity Solutions for Degenerate and Nonmonotone Elliptic Equations

Bernd Kawohl and Nikolay Kutev

A chapter in Applied Nonlinear Analysis, 2002, pp 231-254 from Springer

Abstract: Abstract Motivated by the theory of viscosity solutions we suggest and discuss criteria to choose a particular solution from possibly many solutions in situations where there is nonuniqueness or discontinuity. Particular examples include the Cahn-Hilliard equation.

Keywords: Viscosity solution; Perron method; Cahn Hilliard equation; gradient blow-up; discontinuity (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-306-47096-7_17

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DOI: 10.1007/0-306-47096-9_17

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