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

Published 2 May 2022 in math.AP and math.FA | (2205.00592v1)

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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