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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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|
|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|
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