COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics

Seminars

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Analysis Seminar: "Forward-backward equations"

2013-10-02

4:10pm Neill 5W

Dr. Charles Moore

I will discuss the forward-backward heat equation, which finds applications in imaging processing and population dynamics. This is a differential equation involving a function that satisfies the heat equation in a certain range of values, and the backward heat equation for other values. Both the non-linearity and the ill-posedness of this equation make it difficult to analyze. I will give some background and a few paltry results about what is known.