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Gagliardo–Nirenberg–Sobolev inequalities for convex domains in Rd
(2019)
A special type of Gagliardo–Nirenberg–Sobolev (GNS) inequalities in Rd has played a key role in several proofs of Lieb–Thirring inequalities. Recently, a need for GNS inequalities in convex domains of Rd, in particular for ...
A trajectorial interpretation of the dissipations of entropy and Fisher information for stochastic differential equations
(Institute of Mathematical Statidtics, 2016)
The dissipation of general convex entropies for continuous time Markov processes can be
described in terms of backward martingales with respect to the tail filtration. The relative
entropy is the expected value of a ...
Exponential Convergence Towards Stationary States For The 1d Porous Medium Equation With Fractional Pressure
(Academic Press Inc., 2015)
Regularity Theory For A Class Of Quasilinear Equations
(Wiley-VCH Verlag, 2014)