Student Analysis

Date:  Thursday, February 28, 2013
Location:  3096 East Hall (5:10 PM to 6:00 PM)

Title:  Ill Posed Problems

Abstract:   In PDE, a problem consists of one or more partial differential equations along with boundary and/or initial data. A well posed problem has a unique solution that depends continuously on the data in some suitable topology. An ill posed problem is then a problem in which at least one of existence, uniqueness, or continuous dependence fails to hold. Obtaining existence and uniqueness usually means finding the right number of conditions to impose, while obtaining continuous dependence usually means finding the right kinds of conditions to impose. I'll go over some classical examples of ill posed problems demonstrating some different ways things can go badly. The talk will be accessible to those without much knowledge of PDE's.


Speaker:  Joe Roberts
Institution:  University of Michigan

Event Organizer:   Purvi Gupta   

 

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