Interactions among Quantities of Different Diffusivity

Luis A. Caffarelli


In this presentation I will discuss different models of interactions among variables of different dimensionality (a surface and a volume), different diffusivity (one local, the other integral), occupying adjacent domains or overlapping. Examples are segregation of species, bid-ask configurations in finance, sublimation from solid to air. We are interested in existence, regularity and stability, properties of variables and their interphases.

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