Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations

Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations

Using the maximum principle for semicontinuous functions [3,4], we prove a general ``continuous dependence on the nonlinearities'' estimate for bounded Holder continuous viscosity solutions of fully nonlinear degenerate elliptic equations. Furthermore, we provide existence, uniqueness, and...

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Bibliographic Details
Main Authors: Espen R. Jakobsen, Kenneth H. Karlsen
Format: Article
Language:English
Published: Texas State University 2002-05-01
Series:Electronic Journal of Differential Equations
Subjects:
fully nonlinear degenerate elliptic equation
viscosity solution
Hamilton-Jacobi-Bellman-Isaacs equation
continuous dependence estimate
vanishing viscosity method
convergence rate
Online Access:http://ejde.math.txstate.edu/Volumes/2002/39/abstr.html

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http://ejde.math.txstate.edu/Volumes/2002/39/abstr.html

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