Derek L. Smith

most citedPropagation of regularity and persistence of decay for fifth order dispersive models

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2017

Stabilization of Dispersion Generalized Benjamin Ono

Cynthia Flores, Seungly Oh, Derek Smith

In this article, we examine $L^{2}$ well-posedness and stabilization property of the dispersion-generalized Benjamin-Ono equation with periodic boundary conditions. The main ingredie…

math.AP2017

Control and Stabilization of the Periodic Fifth Order Korteweg-de Vries Equation

Cynthia Flores, Derek L. Smith

We establish local exact control and local exponential stability of periodic solutions of fifth order Korteweg-de Vries type equations in $H^{s} (T)$ , $s > 2$ . A dissipative te…

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…