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math.AP2020★ 17 cited
Distribution-Path Dependent Nonlinear SPDEs with Application to Stochastic Transport Type Equations
Panpan Ren, Hao Tang, Feng-Yu Wang
By using a regularity approximation argument, the global existence and uniqueness are derived for a class of nonlinear SPDEs depending on both the whole history and the distributio…
math.AP2010
A Sharp Liouville Theorem for Elliptic Operators
Enrico Priola, Feng-Yu Wang
We introduce a new condition on elliptic operators which ensures the validity of the Liouville property for bounded solutions to on $\R…
math.AP2007★ 2 cited
Lq-functional inequalities and weighted porous media equations
Jean Dolbeault, Ivan Gentil, Arnaud Guillin +1
Using measure-capacity inequalities we study new functional inequalities, namely L^q-Poincaré inequalities and L^q-logarithmic Sobolev inequalities. As a consequence, we establish…