Results 111 to 120 of about 82,244 (222)
Attractors and upper semicontinuity for an extensible beam with nonlocal structural damping
Abstract We analyze the asymptotic behavior of a class of extensible beam models governed by a nonlocal structural damping mechanism of the form φ(El)(−Δ)βut$\varphi (E_l)(-\Delta)^{\beta }u_t$, where β∈λ=(0,1]$\beta \in \lambda =(0,1]$. The coefficient φ$\varphi$ is a degenerate C1$C^{1}$‐function depending on the linear energy El$E_l$ of the system ...
Zayd Hajjej +3 more
wiley +1 more source
Potential Operators in Variable Exponent Lebesgue Spaces: Two-Weight Estimates
Two-weighted norm estimates with general weights for Hardy-type transforms and potentials in variable exponent Lebesgue spaces defined on quasimetric measure spaces are established.
Sarwar Muhammad +2 more
doaj
ABSTRACT Nonlocal perceptual cues, such as visual, auditory, and olfactory signals, profoundly influence animal movement and the emergence of ecological patterns. To capture these effects, we introduce a two‐species reaction–diffusion system with mutual nonlocal perception on a two‐dimensional periodic domain.
Yaqi Chen, Ben Niu, Hao Wang
wiley +1 more source
This article studies the abstract discrete-time Cauchy problem involving the Riemann–Liouville type difference operator. Sufficient conditions for the existence of unique solution to the semilinear Cauchy problem in Lebesgue and weighted Lebesgue vector ...
Jagan Mohan Jonnalagadda, Carlos Lizama
doaj +1 more source
Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
wiley +1 more source
Abstract This paper investigates boundary‐layer solutions of the singular Keller–Segel system (proposed in Keller and Segel [J. Theor. Biol. 30 (1971), 377–380]) in multi‐dimensional domains, which describes cells' chemotactic movement toward the concentration gradient of the nutrient they consume, subject to a zero‐flux boundary condition for the cell
Jose A. Carrillo +3 more
wiley +1 more source
A Choquet theory of Lipschitz‐free spaces
Abstract Let (M,d)$(M,d)$ be a complete metric space and let F(M)$\mathcal {F}({M})$ denote the Lipschitz‐free space over M$M$. We develop a ‘Choquet theory of Lipschitz‐free spaces’ that draws from the classical Choquet theory and the De Leeuw representation of elements of F(M)$\mathcal {F}({M})$ (and its bi‐dual) by positive Radon measures on βM ...
Richard J. Smith
wiley +1 more source
Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane +3 more
wiley +1 more source
ABSTRACT The multiresolution finite wavelet domain method has been meticulously studied in numerous wave propagation simulations, showing excellent convergence properties and very fast computing times. The multiresolution procedure always starts with the coarse solution, and then finer solutions can be superimposed on the coarse solution until ...
Dimitris Dimitriou +2 more
wiley +1 more source
How Quantum Mechanics Requires Non-Additive Measures. [PDF]
Carcassi G, Aidala CA.
europepmc +1 more source

