Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearity

Amal Attouchi

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arXiv · 1405.5896

Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearity

Amal Attouchi

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Abstract

In this paper, we establish a local gradient estimate for a $p$-Lpalacian equation with a fast growing gradient nonlinearity. With this estimate, we can prove a parabolic Liouville theorem for ancient solutions satisfying some growth restriction near infinity.

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Amal Attouchi. 2014-05-22. Gradient estimate and a Liouville theorem for a $p$-Laplacian evolution equation with a gradient nonlinearity. https://arxiv.org/abs/1405.5896

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