2 papers
math.AP2018
Analysis of the attainment of boundary conditions for a nonlocal diffusive Hamilton-Jacobi equation
Alexander Quaas, Andrei Rodríguez
We study whether the solutions of a parabolic equation with diffusion given by the fractional Laplacian and a dominating gradient term satisfy Dirichlet boundary data in the classi…
math.AP2016
Loss of boundary conditions for fully nonlinear parabolic equations with superquadratic gradient terms
Alexander Quaas, Andrei Rodríguez
We study whether the solutions of a fully nonlinear, uniformly parabolic equation with superquadratic growth in the gradient satisfy initial and homogeneous boundary conditions in…