Asymptotics for a symmetric equation in price formation

@inproceedings{Gonzlez2008AsymptoticsFA,
title={Asymptotics for a symmetric equation in price formation},
author={M. M. Gonz{\'a}lez and Mar{\'i}a P{\'i}a},
year={2008}
}

We study the existence and asymptotics for large time of the solutions to a one dimensional evolution equation with non-standard right hand side. The right hand side involves the derivative of the solution computed at a given point. Existence is proven through a fixed point argument. When the problem is considered in a bounded interval, it is shown that the solution decays exponentially to the stationary state. This problem is a particular case of a mean-field free boundary model proposed by… CONTINUE READING