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arXiv · 2205.00592

Local well-posedness of the Cauchy problem for a p-adic Nagumo-type equation

L. F. Chacón-Cortés·C. A. Garcia-Bibiano·W. A. Zúñiga-Galindo
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Abstract

We introduce a new family of p-adic non-linear evolution equations. We establish the local well-posedness of the Cauchy problem for these equations in Sobolev-type spaces. For a certain subfamily, we show that the blow-up phenomenon occurs and provide numerical simulations showing this phenomenon.

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L. F. Chacón-Cortés, C. A. Garcia-Bibiano, W. A. Zúñiga-Galindo. 2022-05-02. Local well-posedness of the Cauchy problem for a p-adic Nagumo-type equation. https://arxiv.org/abs/2205.00592

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