October 22, 2014
4:10PM - 5:10PM
Math Tower 154
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2014-10-22 16:10:00
2014-10-22 17:10:00
PDE Seminar - Alex Himonas
Speaker: Alex Himonas <himonas@nd.edu>Title: Norm Inflation and ill-posedness for CH and related equations.Abstract: We shall consider the Cauchy problem for CH type equations and discuss the phenomenon of norm inflation in Sobolev spaces $H^s$ for $s$ less than the well-posednes critical index, which for these equations is equal to 3/2. This means that there exist solutions who are initially arbitrarily small and eventually arbitrarily large with respect to the $H^s$ norm, in an arbitrarily short time. When there is norm inflation, then we have ill-posedness since the data-to-solution map is not continuous.
Math Tower 154
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2014-10-22 16:10:00
2014-10-22 17:10:00
PDE Seminar - Alex Himonas
Speaker: Alex Himonas <himonas@nd.edu>Title: Norm Inflation and ill-posedness for CH and related equations.Abstract: We shall consider the Cauchy problem for CH type equations and discuss the phenomenon of norm inflation in Sobolev spaces $H^s$ for $s$ less than the well-posednes critical index, which for these equations is equal to 3/2. This means that there exist solutions who are initially arbitrarily small and eventually arbitrarily large with respect to the $H^s$ norm, in an arbitrarily short time. When there is norm inflation, then we have ill-posedness since the data-to-solution map is not continuous.
Math Tower 154
Department of Mathematics
math@osu.edu
America/New_York
public
Speaker: Alex Himonas <himonas@nd.edu>
Title: Norm Inflation and ill-posedness for CH and related equations.
Abstract: We shall consider the Cauchy problem for CH type equations and discuss the phenomenon of norm inflation in Sobolev spaces $H^s$ for $s$ less than the well-posednes critical index, which for these equations is equal to 3/2. This means that there exist solutions who are initially arbitrarily small and eventually arbitrarily large with respect to the $H^s$ norm, in an arbitrarily short time. When there is norm inflation, then we have ill-posedness since the data-to-solution map is not continuous.
