Harnack inequality
Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian -Homogeneous Forms with a Potential in the Kato Class
... Citti et al. [3] investigated the case of the subelliptic Laplacian and in 1999 Biroli and Mosco [4, 5] extended the result to the case of Riemannian strongly local Dirichlet forms (we recall also that in [6] a ...
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Harnack inequality for subelliptic p Laplacian equations of Schrödinger type
... This article is devoted to presenting the elementary proof of the local estimate and the Harnack inequality for the solutions of Equation (.), which is the extension of the related results in [, ], ...
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Local L∞-estimates, weak Harnack inequality, and stochastic continuity of solutions of SPDEs
... Abstract. We consider stochastic partial differential equations under minimal assumptions: the coefficients are merely bounded and measur- able and satisfy the stochastic parabolicity condition. In particular, the ...
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Harnack inequality and no arbitrage bounds for self financing portfolios
... the Harnack inequality in the framework of the financial no-arbitrage theory and show how it yields an interesting a priori upper bound for the value of a self-financing portfolio in terms of the initial ...
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Harnack inequality for parabolic Lichnerowicz equations on complete noncompact Riemannian manifolds
... Zhu, XB: Hamilton’s gradient estimates and Liouville theorems for fast diffusion equations on noncompact Riemannian manifolds.. Song, XF, Zhao, L: Gradient estimates for the elliptic and [r] ...
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Gradient estimates for the Fisher–KPP equation on Riemannian manifolds
... Recently, Cao et al. [1] derived differential Harnack estimates for positive solutions to (1.1) on Riemannian manifolds with nonnegative Ricci curvature. The idea comes from [7, 8] where a systematic method was ...
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Harnack Inequalities: An Introduction
... invariant Harnack inequalities can only be proved assuming linear growth of A in the last argu- ...the Harnack inequality to the di ff erential ...
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Porosity of the free boundary for quasilinear parabolic variational problems
... the Harnack inequality one cannot inherit each technique from the elliptic obstacle problems, and we need further arguments to establish the growth rate of solu- tions near the free ...nor Harnack ...
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Remarks on the Harnak Inequality for Local Minima of Scalar Integral Functionals with General Growth Conditions
... (1.4) with real positive constants c ,c ,c ,c ₁ ₂ ₃ ₄ and 1 < p ≤ m. Therefore the functional (1.3) satisfies non-standard growth conditions. Classical regularity theorem for functionals with standard growth ...
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Reverse Smoothing Effects, Fine Asymptotics, and Harnack Inequalities for Fast Diffusion Equations
... a Harnack inequality for times close to the extinction time, and of which ...elliptic Harnack inequality, but the proof is di ff erent from the above ones, since it relies on the fine as- ...
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Harnack's Estimates: Positivity and Local Behavior of Degenerate and Singular Parabolic Equations
... weak Harnack inequality for nonnegative super- ...This Harnack estimate is then used to prove that supersolutions are lower semicontinuous and to characterize the singular set in terms of a capacity, ...
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A sharpened version of Hardy’s inequality for parameter p=5/4
... 8. Huang, QL: An extension of a strengthened inequality. J. Guangdong Educ. Inst. 21(2), 17-20 (2001) 9. Yang, BC: On a strengthened version of Hardys inequality. J. Guangdong Educ. Inst. 25(5), 5-8 (2005) ...
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Recent developments of Schwarz's type trace inequalities for operators in Hilbert spaces
... For other trace inequalities see [7], [18], [41], [33], [51], [58], [74] and [80]. In this paper we survey some recent trace inequalities obtained by the author for operators in Hilbert spaces that are connected to ...
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Some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions
... Mitrinović–Adamović inequality, Huygens’ inequality, and Wilker’s inequal- ity, were ...type inequality and Huygens type inequalities, the reader may see ...
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Some inequalities based on a general quantum difference operator
... paper is organized as follows. In Section , we exhibit the results that we need from [], concerning the calculus based on the β -difference operator. Section contains our main results. We prove the β -Hölder, β ...
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Refinements of the Erdös Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality
... this inequality is known as the Erdös-Mordell inequality and has attracted the attention of many mathematicians who offered various new proofs, general- izations, variations, sharpness, and conjectures (see ...
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A new look at classical inequalities involving Banach lattice norms
... If we compare inequalities (.) and (.), we can see that in the case < r, s < inequality (.) is better than inequality (.). Moreover, since in the case r, s > inequality (.) ...
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Social policy and income distribution: An empirical analysis for the Netherlands
... income inequality in 1996, while taxes account for the remaining 15 to 20 ...income inequality is rather high in the Netherlands, also in an international ...reducing inequality, as it contributes ...
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On inequalities of Jensen Ostrowski type
... various assumptions on the absolutely continuous function f : [a,b] → C and a μ -measurable function g, and a complex number λ . Inequalities of Ostrowski and Jensen type are obtained as special cases, by setting λ = 0 ...
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Outcomes and inequalities in diabetes from 2004/2005 to 2011/2012 : English longitudinal study
... The inequality gaps refer to the average quality loss attributable to inequality, the total excess hospitalisations attributable to inequality, and the total excess mortality attributa[r] ...
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