1 citations · 1 across the 5 of their papers we have counts for
6 papers
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…
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…
Stochastic Euler Schemes and Dissipative Evolutions in the Space of Probability Measures
Giulia Cavagnari, Giuseppe Savaré, Giacomo Enrico Sodini
We study the convergence of stochastic time-discretization schemes for evolution equations driven by random velocity fields, including examples like stochastic gradient descent and…
A relaxation viewpoint to Unbalanced Optimal Transport: duality, optimality and Monge formulation
Giuseppe Savaré, Giacomo Enrico Sodini
We present a general convex relaxation approach to study a wide class of Unbalanced Optimal Transport problems for finite non-negative measures with possibly different masses. Thes…
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…
Gradient flows and Evolution Variational Inequalities in metric spaces. I: structural properties
Matteo Muratori, Giuseppe Savaré
This is the first of a series of papers devoted to a thorough analysis of the class of gradient flows in a metric space that can be characterized by Evolution Vari…