In this article, a solution to a semi-linear PDE is obtained by taking the minimum of solutions to related linear PDEs over an infinite-dimensional space of discount boundaries. By restricting the ...

This is a preview. Log in through your library . Abstract Using a representation in terms of a two-type branching particle system, we prove that positive solutions of the system u̇ = Au+uv, v̇ = Bv+uv ...

A wide variety of phenomena in science, economics, and engineering are mathematically modelled by partial differential equations, or PDEs. This project aims to study asymptotic and control properties ...

A general theory is developed for studying changes of a wave train governed by non-linear partial differential equations. The technique is to average over the local oscillations in the medium and so ...