Generating monotone quantities for the heat equation

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• Jonathan Bennett (University of Birmingham)
• Monday 20 October 2014, 16:00-17:00
• Physics West 106 (SR2).

If you have a question about this talk, please contact José Cañizo.

The identification of functionals which vary monotonically as their inputs flow according to a given evolution equation is generally considered to be more of an art than a science. Such monotonicity results have many consequences and, in particular, allow for a deeper understanding of a variety of important inequalities in analysis (via the so-called “semigroup method” or “semigroup interpolation”). The purpose of this talk is to describe a simple framework within which a rich variety of monotone quantities for the heat equation on ℝⁿ may be “generated”

This talk is part of the Analysis seminar series.

This talk is included in these lists:

• Analysis seminar
• Physics West 106 (SR2)
• School of Mathematics events

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