Refinements of Strichartz inequalities and applications to nonlinear dispersive equations

Refinements of Strichartz inequalities and applications to nonlinear dispersive equations

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Date/time
22 Nov 2023 | 10 - 11am
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Speakers

Dr. Robert Schippa, Korea Institute for Advanced Study
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Description

Abstract: In 2004 Bourgain showed a qualitative trilinear Strichartz estimate for solutions to the Schrödinger equation on the circle and raised the question for a quantitative version. Here we prove quantitative estimates via efficient congruencing and decoupling iterations. We also discuss the question in two dimensions, and if time permits, applications to nonlinear equations.

Location

Hanna Neumann Building 145

Seminar Room 1.33

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