Results 31 to 40 of about 71,930 (202)
Sobolev-Kantorovich Inequalities
Analysis and Geometry in Metric Spaces, 2015 Abstract In a recent work, E. Cinti and F. Otto established some new interpolation inequalities in the study of pattern formation, bounding the Lr(μ)-norm of a probability density with respect to the reference measure μ by its Sobolev norm and the Kantorovich-Wasserstein distance to μ. This article emphasizes this family of interpolation
openaire +2 more sources
Logarithmic Sobolev inequality revisited
Comptes Rendus. Mathématique, 2017 We provide a new characterization of the logarithmic Sobolev inequality.
Nguyen, Hoai-Minh, Squassina, Marco
openaire +5 more sources
Modified logarithmic Sobolev inequalities and transportation inequalities
, 2004 We present a class of modified logarithmic Sobolev inequality, interpolating between Poincar\'e and logarithmic Sobolev inequalities, suitable for measures of the type $\exp(-|x|^\al)$ or more complex $\exp(-|x|^\al\log^\beta(2+|x|))$ ($\al\in]1,2[$ and $
Gentil, Ivan +2 more
core +2 more sources
Журнал Белорусского государственного университета: Математика, информатика, 2020 Let (X, d, µ) be a doubling metric measure space with doubling dimension γ, i. e. for any balls B(x, R) and B(x, r), r < R, following inequality holds µ(B(x, R)) ≤ aµ (R/r)γµ(B(x, r)) for some positive constants γ and aµ.
Sergey A. Bondarev
doaj +1 more source
On Korn-Maxwell-Sobolev inequalities
Journal of Mathematical Analysis and Applications, 2021 We establish a family of inequalities that allow one to estimate the $\mathrm{L}^{q}$-norm of a matrix-valued field by the $\mathrm{L}^{q}$-norm of an elliptic part and the $\mathrm{L}^{p}$-norm of the matrix-valued curl. This particularly extends previous work by Neff et al. and, as a main novelty, is applicable in the regime $p=1$.
Franz Gmeineder, Daniel Spector
openaire +3 more sources
Journal of Inequalities and ApplicationsWe consider the logarithmic Sobolev inequality on the Heisenberg group. One can derive the logarithmic Sobolev inequality from the Sobolev inequality, and we consider an application to the uncertainty inequality on the Heisenberg group. Moreover, one can
Takeshi Suguro
doaj +1 more source
Concentration inequalities for Gibbs measures
, 2010 We are interested in Sobolev type inequalities and their relationship with concentration properties on higher dimensions. We consider unbounded spin systems on the d-dimensional lattice with interactions that increase slower than a quadratic. At first we
Papageorgiou, Ioannis
core +1 more source
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
Brézis-Wainger Inequality on Riemannian Manifolds
Journal of Inequalities and Applications, 2008 The Brézis-Wainger inequality on a compact Riemannian manifold without boundary is shown. For this purpose, the Moser-Trudinger inequality and the Sobolev embedding theorem are applied.
Przemysław Górka
doaj +1 more source
Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations
Mathematische Nachrichten, EarlyView.ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
wiley +1 more source