Results 141 to 150 of about 488 (225)
Almost Surely Exponential Convergence Analysis of Time Delayed Uncertain Cellular Neural Networks Driven by Liu Process via Lyapunov-Krasovskii Functional Approach. [PDF]
Wang C, Jia Z, Zhang Y, Zhao X.
europepmc +1 more source
Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
wiley +1 more source
Long-Range Interaction between Molecules with Electronic Degeneracy: Beyond the Born-Oppenheimer Approximation. [PDF]
Yu Y, Hu X, Guo H, Xie D.
europepmc +1 more source
ABSTRACT Aims Purpose: Dictionary matching is a standard tool in quantitative MRI (qMRI), but typically lacks uncertainty quantification (UQ). This is critical when advanced reconstructions (e.g., compressed sensing, deep learning) introduce complex‐valued, spatially varying, and temporally correlated noise that violates standard assumptions of ...
Brian Toner +7 more
wiley +1 more source
On the equivalence of demagnetization tensors as discrete cell size approaches zero in three-dimensional space. [PDF]
Liang H, Yan X.
europepmc +1 more source
Zeros of polynomials in derivatives of automorphic L$L$‐functions
Abstract Let Fm$\mathfrak {F}_m$ be the set of all cuspidal automorphic representations of GLm(AQ)$\mathrm{GL}_m(\mathbb {A}_{\mathbb {Q}})$, and let F(s,π)$F(s,\bm {\pi })$ be a polynomial in the derivatives of L$L$‐functions associated with representations π∈⋃m=1∞Fm$\pi \in \bigcup _{m=1}^{\infty } \mathfrak {F}_m$. We establish an asymptotic formula
Anji Dong +2 more
wiley +1 more source
Kevlar is traditionally modeled as a rigid‐rod polymer, yet rheological behavior deviates from this assumption. The review introduces a novel “twist‐tie” entanglement theory for aramid polymer chains in the nematic liquid crystal state, providing a molecular explanation for deviations from rigid‐rod models. Understanding twist‐tie entanglement dynamics
Emma Egli +3 more
wiley +1 more source
New fixed points of mixed monotone operators with applications to nonlinear integral equations. [PDF]
Xu S, Han Y, Lin S, Zhou G.
europepmc +1 more source
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source

