The weighted log-Sobolev inequality and the entropy-cost inequality are established for a class of diffusion semigroups with curvature unbounded below. Concrete examples are presented to illustrate the main results. AMS subject Classification: 58G32, 60J6
AbstractWe obtain and study new Φ-entropy inequalities for diffusion semigroups, with Poincaré or lo...
AbstractWe derive weighted log-Sobolev inequalities from a class of super Poincaré inequalities. As ...
AbstractBy proving an L2-gradient estimate for the corresponding Galerkin approximations, the log-Ha...
We obtain and study new $\Phi$-entropy inequalities for diffusion semigroups, with Poincaré or logar...
AbstractWe obtain and study new Φ-entropy inequalities for diffusion semigroups, with Poincaré or lo...
We obtain and study new Φ-entropy inequalities for diffusion semigroups, with Poincare ́ or logarith...
AbstractSome equivalent gradient and Harnack inequalities of a diffusion semigroup are presented for...
Abstract. We present new Φ-entropy inequalities for diffusion semigroups un-der the curvature-dimens...
We present new $\Phi$-entropy inequalities for diffusion semigroups under the curvature-dimension cr...
AbstractA gradient-entropy inequality is established for elliptic diffusion semigroups on arbitrary ...
International audienceIn this paper we introduce and study a weakened form of logarithmic Sobolev in...
International audienceIn this paper we introduce and study a weakened form of logarithmic Sobolev in...
International audienceIn this paper we introduce and study a weakened form of logarithmic Sobolev in...
With regard to the generators of diffusion semigroups, a nice tool to prove logarithmic Sobolev ineq...
Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented...
AbstractWe obtain and study new Φ-entropy inequalities for diffusion semigroups, with Poincaré or lo...
AbstractWe derive weighted log-Sobolev inequalities from a class of super Poincaré inequalities. As ...
AbstractBy proving an L2-gradient estimate for the corresponding Galerkin approximations, the log-Ha...
We obtain and study new $\Phi$-entropy inequalities for diffusion semigroups, with Poincaré or logar...
AbstractWe obtain and study new Φ-entropy inequalities for diffusion semigroups, with Poincaré or lo...
We obtain and study new Φ-entropy inequalities for diffusion semigroups, with Poincare ́ or logarith...
AbstractSome equivalent gradient and Harnack inequalities of a diffusion semigroup are presented for...
Abstract. We present new Φ-entropy inequalities for diffusion semigroups un-der the curvature-dimens...
We present new $\Phi$-entropy inequalities for diffusion semigroups under the curvature-dimension cr...
AbstractA gradient-entropy inequality is established for elliptic diffusion semigroups on arbitrary ...
International audienceIn this paper we introduce and study a weakened form of logarithmic Sobolev in...
International audienceIn this paper we introduce and study a weakened form of logarithmic Sobolev in...
International audienceIn this paper we introduce and study a weakened form of logarithmic Sobolev in...
With regard to the generators of diffusion semigroups, a nice tool to prove logarithmic Sobolev ineq...
Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented...
AbstractWe obtain and study new Φ-entropy inequalities for diffusion semigroups, with Poincaré or lo...
AbstractWe derive weighted log-Sobolev inequalities from a class of super Poincaré inequalities. As ...
AbstractBy proving an L2-gradient estimate for the corresponding Galerkin approximations, the log-Ha...