Student Analysis Date:  Thursday, February 21, 2013 Location:  3096 East Hall (5:10 PM to 6:00 PM) Title:  How to Prove Existence of Nonlinear PDE Abstract:   My talk will be a relatively elementary introduction to basic concepts in nonlinear (time-dependent) PDE. I'll discuss the basic paradigm we use to prove local-in-time well-posedness: we prove an "a priori" inequality (often called an "energy inequality") and then we use it to prove existence of solutions for a short period of time. These proofs often involve taking tools from the machinery of functional analysis (things like contraction mappings, Banach-Alaoglu, etc.). I'm going to discuss this basic conceptual setup, with a few simple examples, and then survey different specific approaches to proving local existence. Time permitting, I'll then say a few words about global existence. The talk should be accessible to people without much PDE background. (But, for those with more PDE background, I'll try to include some more subtle issues about the delicacies of proving well-posedness in more difficult cases.) Speaker:  Rafe Kinsey Institution:  University of Michigan Event Organizer:   Purvi Gupta      Edit this event (login required). Add new event (login required). For access requests and instructions, contact math-webmaster@umich.edu Back to previous page Back to UM Math seminars/events page.