24 citations · 64 across the 13 of their papers we have counts for
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math.AP2017
Regular 1-harmonic flow
Lorenzo Giacomelli, Michał Łasica, Salvador Moll
We consider the 1-harmonic flow of maps from a bounded domain into a submanifold of a Euclidean space, i.e. the gradient flow of the total variation functional restricted to maps t…
math.AP2017★ 11 cited
Energy dissipative solutions to the Kobayashi-Warren-Carter system
Salvador Moll, Ken Shirakawa, Hiroshi Watanabe
In this paper we study a variational system of two parabolic PDEs, called the Kobayashi-Warren-Carter system, which models the grain boundary motion in a polycrystal. The focus of…
math.AP2017★ 12 cited
Nonlinear diffusion in transparent media: the resolvent equation
Lorenzo Giacomelli, Salvador Moll, Francesco Petitta
We consider the partial differential equation with nonnegative and bounded and . We prove existen…