## Found 430 Documents (Results 1–100)

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### Functional inequalities for perturbed measures with applications to log-concave measures and to some Bayesian problems. (English)Zbl 07594060

MSC:  60B05 62-XX 60Exx
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### Instability results for the logarithmic Sobolev inequality and its application to related inequalities. (English)Zbl 07562688

MSC:  26D10 39B62 28A33
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### Fractional Besov trace/extension-type inequalities via the Caffarelli-Silvestre extension. (English)Zbl 07560229

MSC:  26D10 46E35 30H25
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### $$L^\infty$$ continuation principle to the compressible non-isothermal nematic liquid crystal flows with zero heat conduction and vacuum. (English)Zbl 1494.76006

MSC:  76A15 76N10 35Q35
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### The logarithmic Sobolev inequality for a submanifold in Euclidean space. (English)Zbl 1496.46029

MSC:  46E35 26D10 53C21
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### Complete logarithmic Sobolev inequalities via Ricci curvature bounded below. (English)Zbl 1493.46082

MSC:  46L53 46L57 53C23
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### Sharp Shannon’s and logarithmic Sobolev inequalities for the Hankel transform. (English)Zbl 1478.26013

MSC:  26D10 42B10 46E35
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### Coercive inequalities in higher-dimensional anisotropic Heisenberg group. (English)Zbl 1489.53043

MSC:  53C17 35H20 46E35
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### Martingale representation and logarithmic-Sobolev inequality for the fractional Ornstein-Uhlenbeck measure. (English)Zbl 07557578

MSC:  60G15 60G18
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### Asymptotic geometric analysis. Part II. (English)Zbl 1496.52001

Mathematical Surveys and Monographs 261. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6360-1/pbk; 978-1-4704-6777-7/ebook). xxxvii, 645 p. (2021).
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### Logarithmic estimates for mean-field models in dimension two and the Schrödinger-Poisson system. (English)Zbl 1489.35072

MSC:  35J50 35Q55 35J47
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### Generalized logarithmic Hardy-Littlewood-Sobolev inequality. (English)Zbl 1483.35006

Reviewer: Meng Qu (Wuhu)
MSC:  35A23
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### The entropy method under curvature-dimension conditions in the spirit of Bakry-Émery in the discrete setting of Markov chains. (English)Zbl 1480.60219

MSC:  60J27 47D07 39A12
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### Large deviations, a phase transition, and logarithmic Sobolev inequalities in the block spin Potts model. (English)Zbl 1479.60060

MSC:  60F10 82B20
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### Rearrangement and the weighted logarithmic Sobolev inequality. (English)Zbl 07425154

MSC:  53B99 26D15 42B25
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MSC:  46L53
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### Concentration inequalities for bounded functionals via log-Sobolev-type inequalities. (English)Zbl 1472.60036

MSC:  60E15 05C80
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### Uncertainty principles associated with the directional short-time Fourier transform. (English)Zbl 1467.81065

MSC:  81S07 42A38
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### A mass transportation proof of the sharp one-dimensional Gagliardo-Nirenberg inequalities. (English)Zbl 1470.26025

MSC:  26D10 46E35
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### Sharp upper diameter bounds for compact shrinking Ricci solitons. (English)Zbl 1468.53033

MSC:  53C20 53C25
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### Equivalence between logarithmic Sobolev inequality and hypercontractivity in a probability gage space. (English)Zbl 1476.46067

MSC:  46L53 46L89
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### Adams’ inequality with logarithmic weights in $$\mathbb{R}^4$$. (English)Zbl 1477.46038

MSC:  46E30 46E35 26D15
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### Modified log-Sobolev inequalities and two-level concentration. (English)Zbl 1469.60068

MSC:  60E15 60F10 60F05
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### Hypocoercivity in Phi-entropy for the linear relaxation Boltzmann equation on the torus. (English)Zbl 1462.35234

MSC:  35Q20 35L02 82C40
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### General class of optimal Sobolev inequalities and nonlinear scalar field equations. (English)Zbl 1460.35170

MSC:  35J91 35J20 46E35
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### Some results on complete Finsler measure spaces. (English)Zbl 1459.35008

MSC:  35A23 35P05 35R01
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### A randomly weighted minimum spanning tree with a random cost constraint. (English)Zbl 1456.05146

MSC:  05C80 05C22 60C05
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### Logarithmic Sobolev inequality on Boltzmann measures with parameter on circles. (Chinese. English summary)Zbl 1474.60043

MSC:  60E15 60A10
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### Hypercontractivity of a class of quantum Markov semigroups and logarithmic Sobolev inequality. (Chinese. English summary)Zbl 1463.81015

MSC:  81R30 46L10 46L53

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### Local existence and blow-up criterion for the two and three dimensional ideal magnetic Bénard problem. (English)Zbl 1444.76040

MSC:  76D03 35B44 35A01
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### Functional inequalities for forward and backward diffusions. (English)Zbl 1459.60156

MSC:  60J60 60G40 60E15
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### Fractional Hardy-Sobolev inequalities and existence results for fractional sub-Laplacians. (English. Russian original)Zbl 1450.35012

J. Math. Sci., New York 250, No. 2, 337-350 (2020); translation from Probl. Mat. Anal. 105, 135-145 (2020).
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### The equivalence of hypercontractivity and logarithmic Sobolev inequality for $$q (-1 \leq q \leq 1)$$ -Ornstein-Uhlenbeck semigroup. (English)Zbl 07238368

MSC:  47D03 58G32 46L50 46L70
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### A dimension-free reverse logarithmic Sobolev inequality for low-complexity functions in Gaussian space. (English)Zbl 1453.60084

Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2017–2019. Volume 1. Cham: Springer. Lect. Notes Math. 2256, 263-271 (2020).
MSC:  60G15 60E15 60B05
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### On Poincaré and logarithmic Sobolev inequalities for a class of singular Gibbs measures. (English)Zbl 1459.60047

Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2017–2019. Volume 1. Cham: Springer. Lect. Notes Math. 2256, 219-246 (2020).
MSC:  60E15 60B20
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### A Sobolev interpolation inequality and a Gross-Sobolev logarithmic inequality. (English. Russian original)Zbl 1456.46032

Math. Notes 107, No. 6, 977-983 (2020); translation from Mat. Zametki 107, No. 6, 894-901 (2020).
MSC:  46E35
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### Restricted hypercontractivity on the Poisson space. (English)Zbl 1443.60027

MSC:  60E15 60D05 60H07
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### Sublinear variance in Euclidean first-passage percolation. (English)Zbl 1451.60104

MSC:  60K35 60E15 82B43
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### Uniform Hanson-Wright type concentration inequalities for unbounded entries via the entropy method. (English)Zbl 1445.60019

MSC:  60E15 60F10
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### Improved interpolation inequalities and stability. (English)Zbl 1437.26018

MSC:  26D10 46E35 58E35
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### Equality in the logarithmic Sobolev inequality. (English)Zbl 1439.53039

MSC:  53C21 53C24
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### Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups. (English)Zbl 1432.22015

MSC:  22E30 43A80
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### Remarks on the Hardy type inequalities with remainder terms in the framework of equalities. (English)Zbl 1435.26017

Kato, Keiichi (ed.) et al., Asymptotic analysis for nonlinear dispersive and wave equations. Proceedings of the international conference on asymptotic analysis for nonlinear dispersive and wave equations, Osaka University, Osaka, Japan, September 6–9, 2014. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 81, 247-258 (2019).
MSC:  26D10 46E35
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### Multiplicity of solutions for $$p$$-Kirchhoff equation with logarithmic nonlinearity. (Chinese. English summary)Zbl 1449.35215

MSC:  35J60 35R10
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### Remarks on the Moser-Trudinger type inequality with logarithmic weights in dimension $$N$$. (English)Zbl 1441.46028

MSC:  46E35 26D10
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### Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. (English)Zbl 1461.60065

MSC:  60J60 60E15
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MSC:  35J92
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### Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications. (English)Zbl 1434.46020

MSC:  46E35 46E30 35J99
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### Global existence and blow up of solution for semilinear hyperbolic equation with logarithmic nonlinearity. (English)Zbl 1421.35221

MSC:  35L71 35B44
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### The random matrix theory of the classical compact groups. (English)Zbl 1433.22001

Cambridge Tracts in Mathematics 218. Cambridge: Cambridge University Press (ISBN 978-1-108-41952-9/hbk; 978-1-108-30345-3/ebook). xi, 211 p. (2019).
MSC:  22C05 15B51 60B15
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### The concavity of $$p$$-entropy power and applications in functional inequalities. (English)Zbl 1404.35273

MSC:  35K92 58J35
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### Osgood type blow-up criterion for the 3D Boussinesq equations with partial viscosity. (English)Zbl 1428.35056

MSC:  35B44 35B65 76D03
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### A family of integral inequalities on the interval $$[-1,1]$$. (English)Zbl 1414.26033

Agarwal, Praveen (ed.) et al., Advances in mathematical inequalities and applications. Singapore: Birkhäuser. Trends Math., 323-331 (2018).
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### A unification of hypercontractivities of the Ornstein-Uhlenbeck semigroup and its connection with {$$\Phi$$}-entropy inequalities. (English)Zbl 06945874

MSC:  47D07 60H30 60J65
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### Logarithmic Sobolev and Shannon’s inequalities and an application to the uncertainty principle. (English)Zbl 1395.42067

MSC:  42B37 49K20 26D10
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### A multi-species chemotaxis system: Lyapunov functionals, duality, critical mass. (English)Zbl 1395.92022

MSC:  92C17 35K51 37B25
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### Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities. (English)Zbl 1426.60066

MSC:  60H10 60J60 60E15
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### A non-symmetric diffusion process on the Wiener space. (English)Zbl 1386.60276

MSC:  60J60 60H07

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### Logarithmic Sobolev inequalities for Moebius measures on spheres. (English)Zbl 1388.60056

MSC:  60E15 39B62 26D10
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### Functional inequalities for Gaussian convolutions of compactly supported measures: explicit bounds and dimension dependence. (English)Zbl 1430.60022

MSC:  60E15 60G15
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