Results 51 to 60 of about 469 (66)

Weak Poincar\'e Inequality for Convolution Probability Measures [PDF]

open access: yes, 2016
By using Lyapunov conditions, weak Poincar\'e inequalities are established for some probability measures on a manifold $(M,g)$. These results are further applied to the convolution of two probability measures on $\R^d$.
Cheng, Li-Juan, Zhang, Shao-Qin
core  

Coupling and Applications [PDF]

open access: yes, 2010
This paper presents a self-contained account for coupling arguments and applications in the context of Markov processes. We first use coupling to describe the transport problem, which leads to the concepts of optimal coupling and probability distance (or
Wang, Feng-Yu
core  

Standing waves for Choquard equation with noncritical rotation

open access: yesAdvances in Nonlinear Analysis
We investigate the existence and stability of standing waves with prescribed mass c>0c\gt 0 for Choquard equation with noncritical rotation in Bose-Einstein condensation. Then, we consider the mass collapse behavior of standing waves, the ratio of energy
Mao Yicen, Yang Jie, Su Yu
doaj   +1 more source

Large Deviations estimates for some non-local equations I. Fast decaying kernels and explicit bounds [PDF]

open access: yes, 2008
We study large deviations for some non-local parabolic type equations. We show that, under some assumptions on the non-local term, problems defined in a bounded domain converge with an exponential rate to the solution of the problem defined in the whole ...
Brändle, Cristina, Chasseigne, Emmanuel
core   +2 more sources

On the p-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity

open access: yesDemonstratio Mathematica
In this article, we deal with the following pp-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity: M([u]s,Ap)(−Δ)p,Asu+V(x)∣u∣p−2u=λ∫RN∣u∣pμ,s*∣x−y∣μdy∣u∣pμ,s*−2u+k∣u∣q−2u,x∈RN,M({\left[u]}
Zhao Min   +2 more
doaj   +1 more source

Spectral properties of non-local uniformly-elliptic operators [PDF]

open access: yes, 2006
In this paper we consider the spectral properties of a class of non-local uniformly elliptic operators, which arise from the study of non-local uniformly elliptic partial differential equations.
Davidson, Fordyce A., Dodds, Niall
core  

Integration by Parts Formula and Shift Harnack Inequality for Stochastic Equations

open access: yes, 2014
A new coupling argument is introduced to establish Driver's integration by parts formula and shift Harnack inequality. Unlike known coupling methods where two marginal processes with different starting points are constructed to move together as soon as ...
Wang, Feng-Yu
core   +1 more source

Contractivity and ground state domination properties for non-local Schr\"odinger operators [PDF]

open access: yes, 2015
We study supercontractivity and hypercontractivity of Markov semigroups obtained via ground state transformation of non-local Schr\"odinger operators based on generators of symmetric jump-paring L\'evy processes with Kato-class confining potentials. This
Kaleta, Kamil   +2 more
core   +1 more source

Existence of solutions for fractional p-Kirchhoff type equations with a generalized Choquard nonlinearities

open access: yes, 2018
In this article, we establish the existence of solutions to the fractional $p-$Kirchhoff type equations with a generalized Choquard nonlinearities without assuming the Ambrosetti-Rabinowitz ...
Chen, Wenjing
core  

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