A drift approximation for parabolic PDEs with oblique boundary data

Damon Alexander; Inwon Kim

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arXiv · 1403.2778

A drift approximation for parabolic PDEs with oblique boundary data

Damon Alexander·Inwon Kim

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Abstract

We consider solutions of a quasi-linear parabolic PDE with zero oblique boundary data in a bounded domain. Our main result states that the solutions can be approximated by solutions of a PDE in the whole space with a penalizing drift term. The convergence is locally uniform and optimal error estimates are obtained.

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Damon Alexander, Inwon Kim. 2014-03-11. A drift approximation for parabolic PDEs with oblique boundary data. https://arxiv.org/abs/1403.2778

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