On the Mixing of Diffusing Particles [PDF]
, 2002 We study how the order of N independent random walks in one dimension evolves with time. Our focus is statistical properties of the inversion number m, defined as the number of pairs that are out of sort with respect to the initial configuration.
Ben-Naim, E.
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A variable exponent boundedness of the Steklov operator [PDF]
Mathematical Inequalities & Applications, 2021 In this paper, a sufficiency condition for boundedness of the Steklov ...
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Global existence and stability of solution for a nonlinear Kirchhoff type reaction-diffusion equation with variable exponents [PDF]
Mathematica Bohemica, 2022 We consider a class of Kirchhoff type reaction-diffusion equations with variable exponents and source terms \begin{equation*} u_t-M\biggl(\int_\Omega\vert\nabla u \vert^2 {\rm d}x\bigg) \Delta u+ \vert u \vert^{m(x) -2}u_t= \vert u \vert^{r(x) -2}u. \end{
Aya Khaldi, Amar Ouaoua, Messaoud Maouni
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The concentration-compactness principles for Ws,p(·,·)(ℝN) and application
Advances in Nonlinear Analysis, 2020 We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
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Encoding the scaling of the cosmological variables with the Euler Beta function [PDF]
, 2002 We study the scaling exponents for the expanding isotropic flat cosmological models. The dimension of space, the equation of state of the cosmic fluid and the scaling exponent for a physical variable are related by the Euler Beta function that controls ...
A. J. SEGUÍ +7 more
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On the Sobolev trace Theorem for variable exponent spaces in the critical range [PDF]
, 2013 In this paper we study the Sobolev Trace Theorem for variable exponent spaces with critical exponents. We find conditions on the best constant in order to guaranty the existence of extremals.
Bonder, Julian Fernandez +2 more
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Integro-differential systems with variable exponents of nonlinearity
Open Mathematics, 2017 Some nonlinear integro-differential equations of fourth order with variable exponents of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence theorem for the problem is proved.
Buhrii Oleh, Buhrii Nataliya
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Lyapunov stability of Vlasov Equilibria using Fourier-Hermite modes [PDF]
, 2009 We propose an efficient method to compute Lyapunov exponents and Lyapunov eigenvectors of long-range interacting many-particle systems, whose dynamics is described by the Vlasov equation. We show that an expansion of a distribution function using Hermite
De Ninno, G., Paškauskas, R.
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New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents
Journal of Function Spaces and Applications, 2012 The authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced.
Baohua Dong, Jingshi Xu
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Variable order nonlocal Choquard problem with variable exponents [PDF]
Complex Variables and Elliptic Equations, 2020 In this article, we study the existence/multiplicity results for the following variable order nonlocal Choquard problem with variable exponents (- )_{p(\cdot)}^{s(\cdot)}u(x)&= |u(x)|^{ (x)-2}u(x)+ \left(\DD\int_ \frac{F(y,u(y))}{|x-y|^{ (x,y)}}dy\right)f(x,u(x)), x\in , u(x)&=0, x\in \mathbb R^N\setminus , where $ \subset\mathbb R^N ...
Reshmi Biswas, Sweta Tiwari
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