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 ...

Partially linear models provide a useful class of tools for modeling complex data by naturally incorporating a combination of linear and nonlinear effects within one framework. One key question in ...