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Conferences & lectures

Critical well-posedness for the derivative nonlinear Schrödinger equation on the line

CRM/Montreal/Quebec Analysis Seminar


Date & time
Friday, September 22, 2023
2 p.m. – 3 p.m.
Speaker(s)

Dr. Maria Ntekoume

Cost

This event is free.

Where

J.W. McConnell Building
1400 De Maisonneuve Blvd. W.
Room 921-4

Accessible location

Yes

This talk focuses on the well-posedness of the derivative nonlinear Schrödinger equation on the line. This model is known to be completely integrable and L^2 -critical with respect to scaling. However, until recently not much was known regarding the well-posedness of the equation below H^(1/2) . In this talk we prove that the problem is well-posed in the critical space on the line, highlighting several recent results that led to this resolution. This is joint work with Benjamin Harrop-Griffiths, Rowan Killip, and Monica Visan.

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