Article ID Journal Published Year Pages File Type
4620719 Journal of Mathematical Analysis and Applications 2008 7 Pages PDF
Abstract

Vector nonlinearities determined by a scalar function arise in various mathematical models. The numerical solution of the corresponding partial differential equations often rely on the Lipschitz continuity of the derivative of the nonlinear operator. In this paper a simple sufficient condition is given for the required Lipschitz continuity, also providing an easily computable estimate of the Lipschitz constant. Some discussion is included for the corresponding elliptic operators.

Related Topics
Physical Sciences and Engineering Mathematics Analysis