Error Estimates of a Linear Approximation Scheme for Nonlinear Diffusion Problems

Abstract

where u : (0, T ]× Ω→ R is the unknown function, Ω ⊂ R is a bounded domain with a Lipschitz continuous boundary Γ, 0 < T <∞ and ∂νβ(u) denotes outside normal derivative. Function β : R → R is nondecreasing Lipschitz continuous function satisfying (2.1). Function f : (0, T ]×Ω×R→ R is Lipschitz continuous with Lipschitz constant Lf and satisfies (2.2). We… (More)

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Cite this paper

@inproceedings{Handlovicov1999ErrorEO, title={Error Estimates of a Linear Approximation Scheme for Nonlinear Diffusion Problems}, author={Angela Handlovicov{\'a}}, year={1999} }