Functional inequalities and Hamilton-Jacobi Equations in Geodesic Spaces

Diffusions hypercontractives

Dominique Bakry and Michel Émery · 1985

Earlier work this paper cites.

The Monge-Kantorovich mass transference problem and its stochastic applications

Svetlozar T. Rachev · 1985

Earlier work this paper cites.

Carnot-CarathŽodory spaces seen from within. Sub-Riemannian geometry

Mikhael Gromov · 1996

Earlier work this paper cites.

Partial differential equations

Lawrence C. Evans · 1998

Earlier work this paper cites.

Quasiconformal maps in metric spaces with controlled geometry

Juha Heinonen and Pekka Koskela · 1998

Earlier work this paper cites.

Differentiability of Lipschitz functions on metric measure spaces

Jeff Cheeger · 1999

Earlier work this paper cites.

Selected topics on “analysis in metric spaces”

Luigi Ambrosio and Paolo Tilli · 2000

Earlier work this paper cites.

Hypercontractivity of Hamilton-Jacobi equations

Sergey G. Bobkov, Ivan Gentil, and Michel Ledoux · 2001

Cited alongside, same era.

A Riemannian interpolation inequality à la Borell, Brascamp and Lieb

Dario Cordero-Erausquin, Robert J. McCann, and Michael Schmuckenschläger · 2001

Cited alongside, same era.

Polar factorization of maps on Riemannian manifolds

Robert J. McCann · 2001

Cited alongside, same era.

Equations de Hamilton-Jacobi et inégalités entropiques généralisées

Ivan Gentil and Florent Malrieu · 2002

Cited alongside, same era.

A version of the Hopf-Lax formula in the Heisenberg group

Juan J. Manfredi and Bianca Stroffolini · 2002

Cited alongside, same era.

Modulus and the Poincaré inequality on metric measure spaces

Stephen Keith · 2003

Cited alongside, same era.

Entropy bounds and isoperimetry

Sergey G. Bobkov and Bogusław Zegarlinski · 2005

Later among the works it cites.

On the geometry of metric measure spaces. I

Karl-Theodor Sturm · 2006

Later among the works it cites.

On the geometry of metric measure spaces. II

Karl-Theodor Sturm · 2006

Later among the works it cites.

Metric Hopf-Lax formula with semicontinuous data

Federica Dragoni · 2007

Later among the works it cites.

Hamilton-Jacobi semigroup on length spaces and applications

John Lott and Cédric Villani · 2007

Later among the works it cites.

Mass transport and variants of the logarithmic Sobolev inequality

Franck Barthe and Alexander V. Kolesnikov · 2008

Later among the works it cites.