61 citations · 108 across the 22 of their papers we have counts for
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math.AP2007
On the Cauchy problem for higher-order nonlinear dispersive equations
Didier Pilod
We study a class of higher-order KdV equations. We show that the associated initial value problem is well posed in weighted Besov and Sobolev spaces for small initial data. We also…
math.AP2007★ 2 cited
Global Well-Posedness and Non-linear Stability of Periodic Traveling Waves for a Schrodinger-Benjamin-Ono System
Jaime Angulo, Carlos Matheus, Didier Pilod
The objective of this paper is two-fold: firstly, we develop a local and global (in time) well-posedness theory for a system describing the motion of two fluids with different dens…