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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-07-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://aimspress.com/article/doi/10.3934/math.2021583?viewType=HTML |
| Summary: | 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. |
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| ISSN: | 2473-6988 |