Results 111 to 120 of about 26,406 (246)
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
wiley +1 more source
Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
wiley +1 more source
, 2013 Summary: Let \(G\) be a connected graph of order \(n\) with Laplacian eigenvalues \(\mu_1\geq\mu_2\geq\cdots\geq\mu_{n-1}>\mu_n=0\). The Laplacian energy of the graph \(G\) is defined as \(LE=LE(G)=\sum_{i=1}^n| \mu_i-2m/n| \). Upper bounds for \(LE\) are obtained in terms of \(n\) and the number of edges \(m\).
Das, Kinkar Ch. +3 more
openaire +3 more sources
Abstract and Applied Analysis, 2003 We prove, for Orlicz spaces LA(ℝN) such that A satisfies the Δ2 condition, the nonresolvability of the A‐Laplacian equation ΔAu + h = 0 on ℝN, where ∫h ≠ 0, if ℝN is A‐parabolic. For a large class of Orlicz spaces including Lebesgue spaces Lp (p > 1), we also prove that the same equation, with any bounded measurable function h with compact support ...
openaire +3 more sources
Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang +2 more
wiley +1 more source
Effects and Correction of Patient Bulk Motion in Cranial DENSE MRI
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose Applications of DENSE to measure cardiac driven brain tissue pulsations are highly sensitive to bulk patient motion due to the sub‐millimeter displacement encoding required, limiting its accuracy, reproducibility, and use in pediatric and aging populations.
Caroline A. Doctor +4 more
wiley +1 more source
Nonlinearities with zeros for Laplacian, p−Laplacian and Poly-Laplacian
Matemática Contemporânea, 2023 openaire +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To develop a generative diffusion model‐based approach for robust and efficient quantitative susceptibility mapping (QSM) reconstruction in intracranial hemorrhage (ICH), applicable to both standard gradient echo (GRE) and rapid echo planar imaging (EPI) acquisitions.
Zhuang Xiong +6 more
wiley +1 more source
The Laplacian Spread of a Tree
Discrete Mathematics & Theoretical Computer Science, 2008 The Laplacian spread of a graph is defined to be the difference between the largest eigenvalue and the second smallest eigenvalue of the Laplacian matrix of the graph.
Yi-Zheng Fan +3 more
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