PDE Real Analysis Seminar
Seminar information archive ~11/09|Next seminar|Future seminars 11/10~
Date, time & place | Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
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2013/10/18
10:30-11:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Björn Gustavsson (KTH Royal Institute of Technology)
Some applications of partial balayage (ENGLISH)
Björn Gustavsson (KTH Royal Institute of Technology)
Some applications of partial balayage (ENGLISH)
[ Abstract ]
Partial balayage is a rather recent tool in potential theory. One of its origins is the construction of quadrature domains for subharmonic functions by Makoto Sakai in the 1970's. It also gives a convenient way of describing weak solutions to a moving boundary problem for Hele-Shaw flow (Laplacian growth), and recently Stephen Gardiner and Tomas Sjödin have used partial balayage to make progress on an inverse problem in potential theory. I plan to discuss some of these, and related, matters.
Partial balayage is a rather recent tool in potential theory. One of its origins is the construction of quadrature domains for subharmonic functions by Makoto Sakai in the 1970's. It also gives a convenient way of describing weak solutions to a moving boundary problem for Hele-Shaw flow (Laplacian growth), and recently Stephen Gardiner and Tomas Sjödin have used partial balayage to make progress on an inverse problem in potential theory. I plan to discuss some of these, and related, matters.