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

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 ce…