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Generating monotone quantities for the heat equation

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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.

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