2017/12/19 by Piotr Rybka, Rybka, Piotr, Ahmad Sabra +1
Mathematics · Computer Science · #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations
paper · pdf · doi:10.48550/arxiv.1712.07150
We study the two dimensional least gradient problem in a convex, but not necessary strictly convex region. We look for solutions in the space of BV functions satisfying the boundary data f in trace sense. We assume that f is in BV too. We state admissibility conditions on the trace and on the domain that are sufficient for existence of solutions.