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Seminar

MLA - Special Seminar: Global solutions to linear and semilinear Helmholtz, Klein-Gordon and Schr\"odinger equations October 16, 2019 (02:00 PM PDT - 03:00 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Andrew Hassell
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I will talk about recent work with Jesse Gell-Redman, Jacob Shapiro and Junyong Zhang on

solving the semilinear Helmholtz equation on Euclidean, or more generally asymptotically conic spaces, 

and ongoing work on extending this result to the semilinear Klein-Gordon and time dependent Schr\"odinger

equations. 

 

The proof relies on finding suitable pairs of Hilbert spaces between which the

operator acts invertibly, such that the range space has suitable algebra (multiplicative) properties. 

Similar work has been done recently by Hintz-Vasy and Gell-Redman-Haber-Vasy. The difference in the

present work is that the analysis at the boundary (`infinity') takes place in the scattering calculus, rather than

the b-calculus. 

 

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