Barles, Guy ; Ramaswamy, Mythily (2005) Sufficient structure conditions for uniqueness of viscosity solutions of semilinear and quasilinear equations Nonlinear Differential Equations and Applications, 12 (4). pp. 503-523. ISSN 1021-9722
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Official URL: http://www.springerlink.com/content/pj67458k323288...
Related URL: http://dx.doi.org/10.1007/s00030-005-0024-5
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: | Article |
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Source: | Copyright of this article belongs to Springer. |
Keywords: | Viscosity Solutions; Maximum Principle; Second Order Elliptic Equations; Degenerate Elliptic Equations |
ID Code: | 62288 |
Deposited On: | 20 Sep 2011 09:31 |
Last Modified: | 20 Sep 2011 09:31 |
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