The Dirichlet-to-Neumann operator for functions of least gradient and associated diffusion problems
Daniel Hauer, José M. Mazón · arXiv (Cornell University) · 2019
Our aim is to study the Dirichlet-to-Neumann operator associated with the 1-Laplacian operator and to study the diffusion problem involving this operator. As an application, we obtain well-posedness and long-time stability of solutions of a singular coupled elliptic-parabolic initial boundary-value problem.