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
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author Lizarazo, Vladimir
De la cruz, Richard
Lizarazo, Julio
author_facet Lizarazo, Vladimir
De la cruz, Richard
Lizarazo, Julio
author_sort Lizarazo, Vladimir
collection PubMed
description 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.
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spelling pubmed-91671082022-06-05 Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type Lizarazo, Vladimir De la cruz, Richard Lizarazo, Julio ScientificWorldJournal Research Article 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. Hindawi 2022-05-27 /pmc/articles/PMC9167108/ /pubmed/35668869 http://dx.doi.org/10.1155/2022/5891265 Text en Copyright © 2022 Vladimir Lizarazo et al. https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Lizarazo, Vladimir
De la cruz, Richard
Lizarazo, Julio
Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type
title Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type
title_full Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type
title_fullStr Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type
title_full_unstemmed Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type
title_short Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type
title_sort local well-posedness to the cauchy problem for an equation of the nagumo type
topic Research Article
url 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
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AT lizarazojulio localwellposednesstothecauchyproblemforanequationofthenagumotype

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