Caltech/UCLA Joint Analysis Seminar

Series: Caltech/UCLA/USC Joint Analysis Seminar Series

Well-posedness for Some Dispersive PDEs on the Half-line

Erin Compaan, Department of Mathematics, MIT,

UCLA, MS 6627

We discuss a method for obtaining well-posedness for dispersive PDEs posed on a half line. It allows us to apply powerful Fourier-restriction norm methods to half-line problems. In this talk, we show well-posedness and smoothing results obtained for the "good" Boussinesq model. We also discuss global results for the Klein-Gordon-Schrodinger system and recent work on the gKdV system. Based on joint work with N. Tzirakis.

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