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math.AP2026
Dissipative Evolutions in Metric Spaces
Lauren Conger, Franca Hoffmann, Giuseppe Savaré
We study a novel class of evolution variational inequalities (EVI) driven by bifunctions defined on a subset o…
math.AP2026
Maximal monotonicity and contraction semigroup for the quantum drift-diffusion (Derrida-Lebowitz-Speer-Spohn) equation
Daniel Matthes, Giuseppe Savaré, André Schlichting
We study the quantum drift-diffusion, or Derrida-Lebowitz-Speer-Spohn (DLSS), equation for a nonnegative density on a bounded convex domain with Neumann boundary conditio…
math.AP2023★ 1 cited
A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport
Daniel Matthes, Eva-Maria Rott, Giuseppe Savaré +1
We propose a spatial discretization of the fourth-order nonlinear DLSS equation on the circle. Our choice of discretization is motivated by a novel gradient flow formulation with r…