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
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
Journal title :
Journal of Mathematical Analysis and Applications
