On the Cauchy problem for quasi-linear Hamiltonian KdV-type equations
Analysis of PDEs
2022-02-15 v1
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.
Cite
@article{arxiv.2202.06710,
title = {On the Cauchy problem for quasi-linear Hamiltonian KdV-type equations},
author = {Felice Iandoli},
journal= {arXiv preprint arXiv:2202.06710},
year = {2022}
}