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 Hsℝ. 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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2022/5891265 |
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| _version_ | 1832565466342621184 |
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| author | Vladimir Lizarazo Richard De la cruz Julio Lizarazo |
| author_facet | Vladimir Lizarazo Richard De la cruz Julio Lizarazo |
| author_sort | Vladimir Lizarazo |
| collection | DOAJ |
| 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 Hsℝ. If D>0, the local well-posedness is given for s>1/2 and for s>3/2 if D=0. |
| format | Article |
| id | doaj-art-b0a4366b18fd49cf9be132f71663eea7 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-b0a4366b18fd49cf9be132f71663eea72025-02-03T01:07:37ZengWileyThe Scientific World Journal1537-744X2022-01-01202210.1155/2022/5891265Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo TypeVladimir Lizarazo0Richard De la cruz1Julio Lizarazo2School of Geological EngineeringSchool of Mathematics and StatisticsSchool of Mathematics and StatisticsIn 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 Hsℝ. If D>0, the local well-posedness is given for s>1/2 and for s>3/2 if D=0.http://dx.doi.org/10.1155/2022/5891265 |
| spellingShingle | Vladimir Lizarazo Richard De la cruz Julio Lizarazo Local Well-Posedness to the Cauchy Problem for an Equation of the Nagumo Type The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2022/5891265 |
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