ON THE CAUCHY PROBLEM FOR QUASI-LINEAR HAMILTONIAN KDV-TYPE EQUATIONS
Résumé
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 [16], generalising the considered class of equations and improving the regularity assumption on the initial data.
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