Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation
The task of our work is to consider the initial value problem based on the model of the generalized Kadomtsev-Petviashvili I equation and prove the local well-posedness in an anisotropic Gevrey spaces and then global well-posedness which improves the recent results on the well-posedness of this mode...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://aimspress.com/article/doi/10.3934/math.2021583?viewType=HTML |
| _version_ | 1819103381698904064 |
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| author | Aissa Boukarou Kaddour Guerbati Khaled Zennir Mohammad Alnegga |
| author_facet | Aissa Boukarou Kaddour Guerbati Khaled Zennir Mohammad Alnegga |
| author_sort | Aissa Boukarou |
| collection | DOAJ |
| description | The task of our work is to consider the initial value problem based on the model of the generalized Kadomtsev-Petviashvili I equation and prove the local well-posedness in an anisotropic Gevrey spaces and then global well-posedness which improves the recent results on the well-posedness of this model in anisotropic Sobolev spaces [17]. Also, wide information about the regularity of the solution in the time variable is provided. |
| first_indexed | 2024-12-22T01:49:33Z |
| format | Article |
| id | doaj.art-0d9689a6540d488493ca7d5a409f5679 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-22T01:49:33Z |
| publishDate | 2021-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-0d9689a6540d488493ca7d5a409f56792022-12-21T18:42:58ZengAIMS PressAIMS Mathematics2473-69882021-07-0169100371005410.3934/math.2021583Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equationAissa Boukarou0Kaddour Guerbati 1Khaled Zennir 2Mohammad Alnegga31. Laboratoire de Mathématiques et Sciences appliquées Université de Ghardaia, Algerie1. Laboratoire de Mathématiques et Sciences appliquées Université de Ghardaia, Algerie2. Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia2. Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi ArabiaThe task of our work is to consider the initial value problem based on the model of the generalized Kadomtsev-Petviashvili I equation and prove the local well-posedness in an anisotropic Gevrey spaces and then global well-posedness which improves the recent results on the well-posedness of this model in anisotropic Sobolev spaces [17]. Also, wide information about the regularity of the solution in the time variable is provided.https://aimspress.com/article/doi/10.3934/math.2021583?viewType=HTMLgeneralized kadomtsev-petviashvili i equationanisotropic gevrey spaceradius of spatial analyticity |
| spellingShingle | Aissa Boukarou Kaddour Guerbati Khaled Zennir Mohammad Alnegga Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation AIMS Mathematics generalized kadomtsev-petviashvili i equation anisotropic gevrey space radius of spatial analyticity |
| title | Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation |
| title_full | Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation |
| title_fullStr | Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation |
| title_full_unstemmed | Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation |
| title_short | Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation |
| title_sort | gevrey regularity for the generalized kadomtsev petviashvili i gkp i equation |
| topic | generalized kadomtsev-petviashvili i equation anisotropic gevrey space radius of spatial analyticity |
| url | https://aimspress.com/article/doi/10.3934/math.2021583?viewType=HTML |
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