A Note on Local Well-Posedness of Generalized KdV Type Equations with Dissipative Perturbations

Xavier Carvajal,Mahendra Panthee

doi:10.1007/978-3-319-66839-0_4

A Note on Local Well-Posedness of Generalized KdV Type Equations with Dissipative Perturbations

Xavier Carvajal, Mahendra Panthee

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https://doi.org/10.1007/978-3-319-66839-0_4

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Publication Date: Jan 1, 2017

Citations: 1

Affiliation: Centro de Tecnologia Mineral, Universidade Estadual de Campinas

#KdV Type Equations #Dissipative Perturbation + Show 8 more

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Abstract

In this note we report some local well-posedness results for the Cauchy problems associated to generalized KdV (gKdV) type equations with dissipative perturbation for given data in the low regularity \(L^2\)-based Sobolev spaces. The method of proof is based on the contraction mapping principle employed in some appropriate time weighted spaces.

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