Results 21 to 30 of about 472,112 (168)

Exponential convergence for ultrafast diffusion equations with log‐concave weights

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log‐concave and log‐lipschitz weight, and prove exponential convergence to equilibrium. This result goes beyond the compact setting studied in Iacobelli [Discrete Contin. Dyn. Syst. 39 (2019), 4929–4943].
Max Fathi, Mikaela Iacobelli
wiley   +1 more source

Maximum principle for higher order operators in general domains

Advances in Nonlinear Analysis, 2021
We first prove De Giorgi type level estimates for functions in W1,t(Ω), Ω⊂RN$ \Omega\subset{\mathbb R}^N $, with t>N≥2$ t \gt N\geq 2 $. This augmented integrability enables us to establish a new Harnack type inequality for functions which do not ...
Cassani Daniele, Tarsia Antonio
doaj   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Harnack-Ungleichungen und Anwendungen auf stochastische Gleichungen [PDF]

, 2009
Ouyang S-X. Harnack inequalities and applications for stochastic equations. Bielefeld (Germany): Bielefeld University; 2009.In dieser Dissertation studieren wir hauptsächlich Wangs Harnack-Ungleichungen und ihre Anwendungen auf Übergangshalbgruppen, die ...
Ouyang, Shun-Xiang
core  

On Harnack inequality for α-stable Ornstein–Uhlenbeck processes [PDF]

, 2007
We consider the α-stable Ornstein–Uhlenbeck process in {mathbb{R}}^d with the generator TeXL = Delta^{alpha/2} - lambda x cdotnabla_x . We show that if 2 > α ≥ 1 or α < 1 = d the Harnack inequality holds.
T. Jakubowski, Jakubowski, Tomasz, Tomasz Jakubowski   +2 more
core   +1 more source

Qualitative properties of solutions to parabolic anisotropic equations, part II — The anisotropic Trudinger's equation

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We study the local regularity properties of weak solutions to a special class of anisotropic doubly nonlinear parabolic operators, whose prototype is the anisotropic Trudinger's equation ut−∑i=1NDiu2−pi|Diu|pi−2Diu=0,u⩾0.$$\begin{equation*} u_t- \sum \limits _{i=1}^N D_i{\left(u^{2-p_i}|D_i u|^{p_i-2} D_i u\right)}=0,\qquad u\geqslant 0.
S. Ciani, E. Henriques, M. O. Savchenko, I. I. Skrypnik   +3 more
wiley   +1 more source

Local boundedness and Harnack inequality for an inverse variational inequality problem with double nonlinear parabolic operator in finance

Journal of Inequalities and Applications
The objective of this paper is to investigate a class of initial boundary value problems for inverse variational inequalities that arise from financial matters.
Jia Li, Zhipeng Tong
doaj   +1 more source

Harnack inequality for non-divergence structure semi-linear elliptic equations

Advances in Nonlinear Analysis, 2018
In this paper we establish a Harnack inequality for non-negative solutions of L⁢u=f⁢(u){Lu=f(u)} where L is a non-divergence structure uniformly elliptic operator and f is a non-decreasing function that satisfies an appropriate growth conditions at ...
Mohammed Ahmed, Porru Giovanni
doaj   +1 more source

Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders

Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.
ABSTRACT Vector‐borne diseases remain an increasing global public health concern. In this work, we investigate the spreading speed of vector‐borne disease via a four‐component reaction–diffusion system posed on non‐coincident straight infinite cylinders, which stands for an unconventional spatial configuration.
Arnaud Ducrot, Hongliang Li, David Manceau   +2 more
wiley   +1 more source

Harnack Inequality for Self-Repelling Diffusions Driven by Subordinated Brownian Motion

Mathematics
In this paper, we consider a self-repelling diffusion driven by the Lévy process. By using the coupling argument, we establish the corresponding Bismut formula and Harnack inequality.
Yaqin Sun, Litan Yan
doaj   +1 more source