2000 character limit reached
On the Cauchy problem for quasi-linear Hamiltonian KdV-type equations (2202.06710v1)
Published 14 Feb 2022 in math.AP
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.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Collections
Sign up for free to add this paper to one or more collections.
