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 ...

Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.

A second branch of this project studies the dynamical and asymptotic properties of linear and nonlinear wave equations and hyperbolic systems that become “weakly hyperbolic”, i.e. in which the ...