Alessio Figalli
UT Austin
Seminars
Oct 16, 2010:
A gradient flow approach to non-local interaction equations
(
ERC Conference on Optimal Transportation and Applications
)
Nov 06, 2012:
Regularity Results for Very Degenerate Elliptic Equations
(
ERC Workshop on Optimal Transportation and Applications
)
Jul 03, 2014:
A transportation approach to random matrices
(
ERC Workshop on Existence and Regularity for Nonlinear Systems of Partial Differential Equations
)
Papers
Ambrosio Luigi - Figalli Alessio
Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces
(2010)
Ambrosio Luigi - Figalli Alessio - Friesecke Gero - Giannoulis Johannes - Paul Thierry
Semiclassical limit of quantum dynamics with rough potentials and well posedness of transport equations with measure initial data
(2011)
De Philippis Guido - Figalli Alessio
$W^{2,1}$ regularity for solutions of the Monge-AmpĂ¨re equation
(2012)
Ambrosio Luigi - Colombo Maria - De Philippis Guido - Figalli Alessio
Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case
(2012)
Ambrosio Luigi - Figalli Alessio - Runa Eris
On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces
(2012)
De Philippis Guido - Figalli Alessio
Higher integrability for minimizers of the Mumford-Shah functional
(2013)
Ambrosio Luigi - Colombo Maria - Figalli Alessio
On the Lagrangian structure of transport equations: the Vlasov-Poisson system
(2014)
Ambrosio Luigi - Bourgain Jean - Brezis Haim - Figalli Alessio
$BMO$-type norms related to the perimeter of sets
(2015)
Ambrosio Luigi - Colombo Maria - Figalli Alessio
Existence and uniqueness of maximal regular flows for non-smooth vector fields
(2015)
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