Title of article
Comparison principles for viscosity solutions of elliptic equations via fuzzy sum rule
Author/Authors
Yousong Luo ?، نويسنده , , Andrew Eberhard، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2005
Pages
17
From page
736
To page
752
Abstract
A comparison principle for viscosity sub- and super-solutions of second order elliptic partial differential
equations is derived using the “fuzzy sum rule” of non-smooth calculus. This method allows
us to weaken the assumptions made on the function F when the equation F(x,u,Du,D2u) = 0 is
under consideration.
2005 Elsevier Inc. All rights reserved
Keywords
non-smooth analysis , Comparison principles , Fuzzy sum rule , Viscosity solutions
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2005
Journal title
Journal of Mathematical Analysis and Applications
Record number
933952
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