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第36回PDE実解析研究会 (北大数学COE協賛)

PDE Real Analysis Seminar

Contents

Program

組織委員：
儀我美一（東大／北大）
日　　時：
2008年3月19日(水) 10:30-11:30
場　　所：
東京大学大学院　数理科学研究科056号室
※会場へのアクセスは下記にてご確認下さい。
駒場アクセスマップ
http://www.u-tokyo.ac.jp/campusmap/map02_02_j.html
駒場キャンパス数理科学研究科棟
http://www.u-tokyo.ac.jp/campusmap/cam02_01_27_j.html
講 演 者：
Professor Juergen Saal (University of Konstanz)
演　　題：
Maximal Regularity for Mixed Order Systems
ABSTRACT:
In classical boundary value problems the related symbols are homogeneous in space and time. This allows for the application of a standard compactness argument in order to obtain the important maximal regularity. However, quasilinear systems arising e.g. from free boundary problems are in general of mixed order. In other words the related symbols are of intricate structure and in particular highly inhomogeneous. Therefore, the standard compactness argument fails. The purpose of this talk is to introduce the Newton polygon method, which gives a systematic approach to such mixed order systems and to demonstrate its strength by applications to the Stefan problem and a free boundary problem for the Navier-Stokes equations.