In this talk we consider a model first order mean field game problem, introduced by J.M. Lasry and P.L. Lions. Its solution (v,m) can be obtained as the limit of the solutions of the second order mean...
Abstract: The Earth shows a systematic asimmetry of the first order tectonic features, both along subduction zones, orogens and oceanic rifts. This signature is consistent with the "westerly" dir...
We introduce a model for a robot hand based on the theory of expansions in non-integer bases. Self-similarity of configurations and an arbitrarily large number of fingers (including the opposable thum...
A general principle for dealing with the intrinsic numerical instability of most inverse problems is that of regularization. Among the regularization approaches the first one is Tikhonov regularizatio...
Diffusion geometry, scale-space analysis, and study of heat propagation on manifolds have recently become a popular tool in data analysis in a variety of applications. In this talk, we will explore th...
This talk will present recent research on the use of information-theoretic approaches for managing the sensor network responsible for detecting, tracking, and cataloging space objects in support of sp...
We discuss problems where there is a large interacting term.These occur in population models and nonlinear optics.we discuss some new Holder estimates and some new results on the behaviour of the corr...
For a second-order elliptic equation in divergence form we investigate conditions on the coefficients which imply that all solutions are Lipschitz continuous or differentiable at a given point. We ass...
In this talk I discuss work with Marco Veneroni on curvature-penalizing energies that arise in models of pattern formation. These nonlocal energies contain competing terms, penalizing both rapid varia...
In the paper we give an overview on variational regularization methods in Banach spaces. The theory is developed based on the classical theory of regularization methods in Hilbert spaces. An essential...
Metivier proved in 2005 that hyperbolicity, meaning reality of the spectrum of the principal symbol, is a necessary condition for the well-posedness of the initial-value problem associated with first-...
