Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation

Aissa Boukarou; Kaddour Guerbati; Khaled Zennir; Mohammad Alnegga; Aissa Boukarou; Kaddour Guerbati; Khaled Zennir; Mohammad Alnegga

doi:10.3934/math.2021583

AIMS Mathematics

2021, Volume 6, Issue 9: 10037-10054. doi: 10.3934/math.2021583

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Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation

1.
Laboratoire de Mathématiques et Sciences appliquées Université de Ghardaia, Algerie
2.
Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia

Received: 26 April 2021 Accepted: 23 June 2021 Published: 07 July 2021
MSC : 35Q35, 35Q53

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.
- generalized Kadomtsev-Petviashvili I equation,
- anisotropic Gevrey space,
- radius of spatial analyticity
Citation: Aissa Boukarou, Kaddour Guerbati, Khaled Zennir, Mohammad Alnegga. Gevrey regularity for the generalized Kadomtsev-Petviashvili I (gKP-I) equation[J]. AIMS Mathematics, 2021, 6(9): 10037-10054. doi: 10.3934/math.2021583

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Abstract

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.

References

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