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| My research interest lies in nonlinear partial
differential equations. I am currently focusing on studying uniqueness and stability
properties of dispersive equations. My dissertation advisor was Gustavo
Ponce. |
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| Papers | |
| (with H. McGahagan and G. Ponce) On the decay properties of solutions to a class of Schrödinger equations., Proc. Amer. Math. Soc., 136 (2008), 2081-2090 | |
| Uniqueness properties of higher order dispersive equations, J. Differential Equations, 236 (2007), 199-236. |
| Presentations | ||
| Unique
continuation for fifth order dispersive equations The University of Arizona, Analysis and its Applications Seminar | October 2007 | |
| The KdV equation and
the great wave of translation California State University, Los Angeles MAA Student Chapter Seminar | May 2007 | |
| Dispersive equations and solitons California State University, Channel Islands Mathematics Graduate Seminar | March 2007 | |
| Uniqueness properties
of higher order dispersive equations Joint Mathematics Meetings Project NeXT/YMN Poster Session | January 2007 | |
| Introduction to the KdV equation University of California, Santa Barbara, Hypatian Seminar | May 2006 | |
| Uniqueness properties
of the KdV equation | November 2005 |
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| Recreation of John Scott Russell's
soliton wave |