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4 papers · 2 filters
{ Euclidean, Metric, and Wasserstein } Gradient Flows: an overview
Filippo Santambrogio
This is an expository paper on the theory of gradient flows, and in particular of those PDEs which can be interpreted as gradient flows for the Wasserstein metric on the space of p…
Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces
Rupert L. Frank, Julien Sabin
We generalize the spectral cluster bounds of Sogge for the Laplace-Beltrami operator on compact Riemannian manifolds to systems of orthonormal functions. The optimality of th…
A sharp estimate a la calderon-zygmund for the p--laplacian
Lorenzo Brasco, Filippo Santambrogio
We consider local weak solutions of the Poisson equation for the p--Laplace operator. We prove a higher differentiability result, under an essentially sharp condition on the right-…
Nonexistence of small, odd breathers for a class of nonlinear wave equations
Michał Kowalczyk, Yvan Martel, Claudio Muñoz
In this note, we show that for a large class of nonlinear wave equations with odd nonlinearities, any globally defined odd solution which is small in the energy space decays to …