Results 61 to 70 of about 472,112 (168)

Harnack Inequality for Non-Local Schrödinger Operators

, 2017
Let x∈ Rd, d ≥ 3, and f: Rd→ R be a twice differentiable function with all second partial derivatives being continuous. For 1 ≤ i, j ≤ d, let aij: Rd→ R be a differentiable function with all partial derivatives being continuous and bounded.
Koushik Ramachandran, Ramachandran, Koushik, Siva Athreya, Athreya, Siva   +3 more
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On the De Giorgi-Nash-Moser regularity theory for kinetic equations

Bruno Pini Mathematical Analysis Seminar
In this note we review some recent results regarding the De Giorgi-Nash-Moser weak regularity theory for Kolmogorov operators obtained in [10] in collaboration with A. Rebucci.
Francesca Anceschi
doaj   +1 more source

Harnack inequalities for nonlinear parabolic equations under integral ricci curvature bounds [PDF]

ریاضی و جامعه
This work is devoted to the study of gradient estimates and Harnack inequalities for positive solutions to a class of nonlinear parabolic equations on compact Riemannian manifolds under integral Ricci curvature bounds.
Shahroud Azami, Mehdi Jafari
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On Harnack inequality and harmonic Schwarz lemma

In this paper, we study the $(s, C(s))$-Harnack inequality in a domain $G\subset \mathbb{R}^n$ for $s\in(0,1)$ and $C(s)\geq1$ and present a series of inequalities related to $(s, C(s))$-Harnack functions and the Harnack metric.
Kargar, Rahim
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Harnack inequality in doubling quasi metric spaces and applications. [PDF]

, 2019
In this thesis we present an axiomatic approach to an invariant Harnack inequality for non homogeneous PDEs in the setting of doubling quasi-metric spaces.
Guidi, Chiara <1991>
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The Harnack inequality fails for nonlocal kinetic equations

Kaßmann M, Weidner M. The Harnack inequality fails for nonlocal kinetic equations. Advances in Mathematics. 2024;459: 110030.We prove that the Harnack inequality fails for nonlocal kinetic equations.
Kaßmann, Moritz ; https://orcid.org/, Weidner, Marvin   +1 more
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Harnack inequalities in infinite dimensions [PDF]

, 2012
We consider the Harnack inequality for harmonic functions with respect to three types of infinite-dimensional operators. For the infinite-dimensional Laplacian, we show no Harnack inequality is possible. We also show that the Harnack inequality fails for
Gordina, Maria, Bass, Richard F.
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On a relation between growth estimates and Harnack inequalities for quasilinear elliptic equations with nonlinear lower order terms [PDF]

Opuscula Mathematica
We investigate a relation between the Harnack inequalities and the (a priori) growth estimates for positive solutions of quasilinear elliptic equations with nonlinear terms involving the solution and its gradient in an arbitrary domain in \(\mathbb{R}^N\)
Kentaro Hirata
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Properties of scales of Kato classes, Bessel potentials, Morrey spaces, and a weak Harnack inequality for non-negative solutions of elliptic equations

Electronic Journal of Differential Equations, 2017
In this article, we study some basic properties of the scale of Kato classes related with the Bessel kernel, Lorentz spaces, and Morrey spaces. Also we characterize the weak Harnack inequality for non-negative solutions of elliptic equations in terms
Rene Erlin Castillo, Julio C. Ramos-Fernandez, Edixon M. Rojas   +2 more
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A Discrete Time Harnack

, 2007
llows from boundedness of geometry of f M and continuity of sample paths of the Brownian motion. In order to obtain a Harnack inequality for discrete time Markov operators one has to impose on the operator some locality and "bounded geometry" ...
Inequality And Its, Vadim A. Kaimanovich
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