Refinements of Strichartz inequalities and applications to nonlinear dispersive equations
Refinements of Strichartz inequalities and applications to nonlinear dispersive equations
Date & time
Date/time
22 Nov 2023 | 10 - 11am
Speaker
Speakers
Dr. Robert Schippa, Korea Institute for Advanced Study
Event series
Event series
Contact
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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