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arXiv · 1805.10851

The Dirichlet problem for the $\alpha$-translating soliton equation on a strip

Rafael López
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Abstract

We prove the existence of classical solutions to the Dirichlet problem for the $\alpha$-translating soliton equation defined in a strip of $\r^2$. We use the Perron method where a family of grim reapers are employed as barriers for solving the Dirichlet problem when the boundary data is formed by two copies of a convex function.

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Rafael López. 2018-05-28. The Dirichlet problem for the $\alpha$-translating soliton equation on a strip. https://arxiv.org/abs/1805.10851

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