Abstract

Continuous dependence on a modelling parameter is established for solutions of a problem for a Ginzburg–Landau equation. Both the forward and backward in time problems are analysed. In the former case, we derive a priori estimates that indicate that solutions depend continuously on a parameter in the governing differential equation. For the backward in time problem, which is ill-posed, we obtain Holder continuous dependence on the parameter provided we assume that the solutions exist and are properly constrained. In the last part of the paper, nonexistence results for a backward in time problem for the Ginzburg–Landau equation are discussed. Copyright © 2000 John Wiley & Sons, Ltd.

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