Title of article
Viscosity solutions of fully nonlinear parabolic systems
Author/Authors
Submitted by J. McKenna، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2003
Pages
20
From page
362
To page
381
Abstract
In this paper, we discuss the viscosity solutions of the weakly coupled systems of fully nonlinear second-order degenerate parabolic equations and their Cauchy–Dirichlet problem. We prove the existence, uniqueness and continuity of viscosity solution by combining Perronʹs method with the technique of coupled solutions. The results here generalize those in Proc. London Math. Soc. 63 (1991) 212–240 and Comm. Partial Differential Equations 16 (1991) 1095–1128.
Keywords
fully nonlinear degenerate parabolic equations , Systems of partial differential equations , Coupled solution , Viscosity solutions , Perronיs method
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2003
Journal title
Journal of Mathematical Analysis and Applications
Record number
930555
Link To Document