16 citations · 65 across the 21 of their papers we have counts for
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math.AP2015★ 16 cited
On well-posedness of generalized Korteweg-de Vries equation in scale critical ^L^r space
Satoshi Masaki, Jun-ichi Segata
The purpose of this paper is to study local and global well-posedness of initial value problem for generalized Korteweg-de Vries (gKdV) equation in ^L^r. We show (large data) local…
math.AP2015★ 1 cited
Propagation of regularity and persistence of decay for fifth order dispersive models
Jun-ichi Segata, Derek L. Smith
This paper considers the initial value problem for a class of fifth order dispersive models containing the fifth order KdV equation $$\partial_tu - \partial_x^5u - 30u^2\partial_xu…