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

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)(ℝ). If D > 0, the local well-posedness is given for s > 1/2 and for s > 3/2 if D=0.

Detalles Bibliográficos
Autores principales: Lizarazo, Vladimir, De la cruz, Richard, Lizarazo, Julio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9167108/
https://www.ncbi.nlm.nih.gov/pubmed/35668869
http://dx.doi.org/10.1155/2022/5891265
Descripción
Sumario: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)(ℝ). If D > 0, the local well-posedness is given for s > 1/2 and for s > 3/2 if D=0.

Ejemplares similares