4 papers · 1 filter
Viscosity solutions posed on star-shaped network with Kirchhoff's boundary condition: Well-posedness
Isaac Ohavi
The aim of this work is to establish the well-posedness of fully nonlinear partial differential equations (PDE) posed on a star-shaped network, having nonlinear Kirchhoff's boundar…
Stochastic scattering control of spider diffusion governed by an optimal diffraction probability measure selected from its own local-time
Isaac Ohavi
The purpose of this article is to study a new problem of stochastic control, related to Walsh's spider diffusion, named: stochastic optimal scattering control. The optimal scatteri…
Comparison principle for Walsh's spider HJB equations with non linear local time Kirchhoff's boundary transmission
Isaac Ohavi
The main purpose of this work is to obtain a comparison principle for viscosity solutions of a system of elliptic Walsh's spider Hamilton-Jacobi-Bellman equations, possessing a new…
Well posedness of linear parabolic partial differential equations posed on a star-shaped network with local time Kirchhoff's boundary condition at the vertex
Miguel Martinez, Isaac Ohavi
The main purpose of this work is to provide an existence and uniqueness result for the solution of a linear parabolic system posed on a star-shaped network, which presents a new ty…