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Paper detail

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

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.

preprint2022arXivOpen access
Felice Iandoli
math.AP
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