id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
k6439z93d3x	Fangchi Yan	Well-Posedness of a Higher Dispersion KdV Equation on the Half-Line	2020		.txt	text/plain	134	3	37	The initial-boundary value problem (ibvp) for the m-th order Korteweg-de Vries (KdVm) equation on the half-line is studied by extending a novel approach recently developed for the well-posedness of the KdV on the half-line, which is based on the solution formula produced via Fokas' unified transform method for the associated forced linear ibvp. Replacing in this formula the forcing by the nonlinearity and using data in Sobolev spaces suggested by the space-time regularity of the Cauchy problem of the linear KdVm, gives an iteration map for the ibvp which is shown to be a contraction in an appropriately chosen solution space.	cache/k6439z93d3x.txt	txt/k6439z93d3x.txt