Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type

Abstract

In this paper, we show the local well-posedness for the Cauchy problem for the equation of the Nagumo type in this equation (1) in the Sobolev spaces $H^s(\mathbb{R})$ . If $D>0$, the local well-posedness is given for $s > 1/2$ and for $s > 3/2$ if $D=0$.

Publication
The Scientific World Journal, 2022. Art 5891265. doi:10.1155/2022/5891265

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