Results 11 to 20 of about 2,505 (109)

From Hardy to Rellich inequalities on graphs

open access: yesProceedings of the London Mathematical Society, Volume 122, Issue 3, Page 458-477, March 2021., 2021
Abstract We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Laplacian of the function in terms of weighted norms. These weights involve the Hardy weight and a function which satisfies an eikonal inequality.
Matthias Keller   +2 more
wiley   +1 more source

On the decoupled Markov group conjecture

open access: yesBulletin of the London Mathematical Society, Volume 53, Issue 1, Page 240-247, February 2021., 2021
Abstract The Markov group conjecture, a long‐standing open problem in the theory of Markov processes with countable state space, asserts that a strongly continuous Markov semigroup T=(Tt)t∈[0,∞) on ℓ1 has bounded generator if the operator T1 is bijective. Attempts to disprove the conjecture have often aimed at glueing together finite‐dimensional matrix
Jochen Glück
wiley   +1 more source

An existence result for two-dimensional parabolic integro-differential equations involving CEV model

open access: yesMoroccan Journal of Pure and Applied Analysis, 2023
In this paper, we present an existence result of weak solutions for some parabolic equations involving the so-called CEV model with jumps.
Jarmouni Brahim, Hjiaj Hassane
doaj   +1 more source

Exponential behavior of neutral impulsive stochastic integro-differential equations driven by Poisson jumps and Rosenblatt process

open access: yesNonautonomous Dynamical Systems, 2020
In this article, we are concerned with the neutral impulsive stochastic integro-differential equations driven by Poisson jumps and Rosenblatt process.
Kasinathan Ravikumar   +3 more
doaj   +1 more source

L∞-error estimates of a finite element method for Hamilton-Jacobi-Bellman equations with nonlinear source terms with mixed boundary condition

open access: yesDemonstratio Mathematica, 2021
In this paper, we introduce a new method to analyze the convergence of the standard finite element method for Hamilton-Jacobi-Bellman equation with noncoercive operators with nonlinear source terms with the mixed boundary conditions.
Miloudi Madjda   +2 more
doaj   +1 more source

Fluctuations for Some Nonstationary Interacting Particle Systems via Boltzmann–Gibbs Principle

open access: yesForum of Mathematics, Sigma, 2023
Conjecture II.3.6 of Spohn in [47] and Lecture 7 of Jensen–Yau in [35] ask for a general derivation of universal fluctuations of hydrodynamic limits in large-scale stochastic interacting particle systems. However, the past few decades have witnessed only
Kevin Yang
doaj   +1 more source

Weak solutions and optimal controls of stochastic fractional reaction-diffusion systems

open access: yesOpen Mathematics, 2020
The aim of this paper is to investigate a class of nonlinear stochastic reaction-diffusion systems involving fractional Laplacian in a bounded domain. First, the existence and uniqueness of weak solutions are proved by using Galërkin’s method.
Fu Yongqiang, Yan Lixu
doaj   +1 more source

The family of random attractors for nonautonomous stochastic higher-order Kirchhoff equations with variable coefficients

open access: yesOpen Mathematics, 2022
In this paper, the stochastic asymptotic behavior of the nonautonomous stochastic higher-order Kirchhoff equation with variable coefficients is studied.
Lv Penghui, Lin Guoguang, Sun Yuting
doaj   +1 more source

F‐Manifolds and geometry of information

open access: yesBulletin of the London Mathematical Society, Volume 52, Issue 5, Page 777-792, October 2020., 2020
Abstract The theory of F‐manifolds, and more generally, manifolds endowed with commutative and associative multiplication of their tangent fields, was discovered and formalised in various models of quantum field theory involving algebraic and analytic geometry, at least since the 1990s. The focus of this paper consists in the demonstration that various
Noémie Combe, Yuri I. Manin
wiley   +1 more source

Approximate controllability for a stochastic elastic system with structural damping and infinite delay

open access: yesOpen Mathematics, 2023
In this article, we study the existence of mild solutions and the approximate controllability for a class of stochastic elastic systems with structural damping and infinite delay in Hilbert spaces.
Peng Jiankui   +3 more
doaj   +1 more source

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