Sufficient structure conditions for uniqueness of viscosity solutions of semilinear and quasilinear equations

Barles, Guy and Ramaswamy, Mythily (2006) Sufficient structure conditions for uniqueness of viscosity solutions of semilinear and quasilinear equations. In: NoDEA : Nonlinear Differential Equations and Applications, 12 (4). pp. 503-523.

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Abstract

In this article, we introduce a new approach for proving Maximum Principle type results for viscosity solutions of second-order, fully nonlinear possibly degenerate elliptic equations. This approach leads, in particular, to a better understanding of the conditions on the equation which are necessary to obtain such results. It allows us to provide new comparison results for semilinear and quasilinear equations.

Item Type:	Journal Article
Publication:	NoDEA : Nonlinear Differential Equations and Applications
Publisher:	Springer
Additional Information:	The copyright of this article belongs to Springer.
Keywords:	Viscosity solutions; maximum principle; second order elliptic equations; degenerate elliptic equations
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	08 Feb 2008
Last Modified:	19 Sep 2010 04:42
URI:	http://eprints.iisc.ac.in/id/eprint/12950

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