6 citations · 8 across the 3 of their papers we have counts for
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Nonlinear mobility continuity equations and generalized displacement convexity
José Antonio Carrillo, Stefano Lisini, Giuseppe Savaré +1
We consider the geometry of the space of Borel measures endowed with a distance that is defined by generalizing the dynamical formulation of the Wasserstein distance to concave, no…
A Family of Nonlinear Fourth Order Equations of Gradient Flow Type
Daniel Matthes, Robert J. McCann, Giuseppe Savar'e
Global existence and long-time behavior of solutions to a family of nonlinear fourth order evolution equations on are studied. These equations constitute gradient flows for t…
Modeling solutions with jumps for rate-independent systems on metric spaces
Alexander Mielke, Riccarda Rossi, Giuseppe Savaré
Rate-independent systems allow for solutions with jumps that need additional modeling. Here we suggest a formulation that arises as limit of viscous regularization of the solutions…