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math.AP2013★ 1 cited
Universal bound independent of geometry for solution to symmetric diffusion equation in exterior domain with boundary flux
Ross Pinsky
Fix and let denote the ball of radius centered at the origin in , . Let be an open set with smooth boundary and such that is…
math.AP2013
The Behavior of the Free Boundary for Reaction-Diffusion Equations with Convection in an Exterior Domain with Neumann or Dirichlet Boundary Condition
Ross G. Pinsky
Let \begin{equation*} L=\sum_{i,j=1}^da_{i,j}\frac{\partial^2}{\partial x_i\partial x_j}-\sum_{i=1}^db_i\frac{\partial}{\partial x_i} \end{equation*} be a second order elliptic ope…
math.PR2013
The Speed of a Random Walk Excited By Its Recent History
Ross G. Pinsky
Let and be positive integers satisfying , and let . Define a process on as follows. At each step, the process…