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arXiv · 2008.09855

Counting Ancient Solutions on A Strip with Exponential Growth

Feng Gui
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Abstract

We study the ancient solutions of parabolic equations on an infinite strip. We show that any polynomial growth ancient solution for a class of parabolic equations must be constant. Furthermore, we show that the vector space of ancient solutions that grow slower than a fixed exponential order is of finite dimension.

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Feng Gui. 2020-08-22. Counting Ancient Solutions on A Strip with Exponential Growth. https://arxiv.org/abs/2008.09855

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