Unique Continuation for Fifth-order Dispersive Equations

Liana Dawson
Deparment of Mathematics
University of Arizona

This talk will be concerning uniqueness properties of solutions to nonlinear dispersive equations. We will begin by reviewing some of the known existence and uniqueness results for dispersive equations. Then we will establish a unique continuation property for fifth-order equations. The goal will be to show that if the difference of two solutions to a fifth-order nonlinear dispersive equation decays sufficiently fast at infinity at two times, then the solutions are equal.