Mathematical and Statistical Sciences Faculty Publications and Presentations

Document Type

Article

Publication Date

5-2-2022

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.

Included in

Mathematics Commons

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