Rice University Department of Mathematics Colloquium

Dispersive estimates for Dirac equation

4:00 pm Thursday, October 20th, 2016
Burak Erdogan (UIUC)

Abstract: In this talk we discuss dispersive decay estimates for the Dirac equation in dimensions 2 and 3. The Dirac equation is a relativistic generalization of the Schrodinger equation. We will first review dispersive estimates for the Schrodinger equation, then present extensions to the Dirac equation. As in the case of the Schrodinger equation, the decay rate is affected by threshold resonances and/or eigenvalues.

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