2006 | OriginalPaper | Buchkapitel
A Nonlinear Problem
verfasst von : Vidar Thomée
Erschienen in: Galerkin Finite Element Methods for Parabolic Problems
Verlag: Springer Berlin Heidelberg
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In this chapter we shall consider the application of our previous methods of analysis to a nonlinear model problem. For simplicity and concreteness, we restrict our attention to the situation in the beginning of Chapter 1, with a convex plane domain and with piecewise linear approximating functions. We also consider the problem on a finite interval
J
= (0,
t
in time; some of the constants in our estimates will depend on
t
, without explicit mention.