On the Cauchy problem for quasi-linear Hamiltonian KdV-type equations

Felice Iandoli

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arXiv · 2202.06710

On the Cauchy problem for quasi-linear Hamiltonian KdV-type equations

Felice Iandoli

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Abstract

We prove local in time well-posedness for a class of quasilinear Hamiltonian KdV-type equations with periodic boundary conditions, more precisely we show existence, uniqueness and continuity of the solution map. We improve the previous result in \cite{Mietka}, generalising the considered class of equations and improving the regularity assumption on the initial data.

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Felice Iandoli. 2022-02-14. On the Cauchy problem for quasi-linear Hamiltonian KdV-type equations. https://arxiv.org/abs/2202.06710

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