Results 111 to 120 of about 1,651 (223)
Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 7975-8005, 30 May 2026.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 8044-8060, 30 May 2026.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
A Stable and Accurate X‐FFT Solver for Linear Elastic Homogenization Problems in 3D
International Journal for Numerical Methods in Engineering, Volume 127, Issue 10, 30 May 2026.ABSTRACT Although FFT‐based methods are renowned for their numerical efficiency and stability, traditional discretizations fail to capture material interfaces that are not aligned with the grid, resulting in suboptimal accuracy. To address this issue, the work at hand introduces a novel FFT‐based solver that achieves interface‐conforming accuracy for ...
Flavia Gehrig, Matti Schneider
wiley +1 more source
Carleson–Sobolev measures for weighted Bloch spaces
Journal of Functional Analysis, 2010 Let \(B_n\) denote the unit ball in \( \mathbb C^n.\) The class of all homomorphic functions on \(B_n\) will be denoted by \(H(B_n).\) Let \(f \in H(B_n)\) have the homogeneous expansion \(f(z)=\sum_{k=1}^\infty f_k(z).\) For each non-negative integer \(j\), we define \({\mathcal R}^j f(z)=\sum_{k=1}^\infty k^jf_k(z).\) For each real parameter \(\alpha\
openaire +1 more source
Weighted Sobolev Spaces on Metric Measure Spaces
, 2023 We investigate weighted Sobolev spaces on metric measure spaces $(X,d,m)$. Denoting by $\rho$ the weight function, we compare the space $W^{1,p}(X,d,\rho m)$ (which always concides with the closure $H^{1,p}(X,d,\rho m)$ of Lipschitz functions) with the ...
Speight, Gareth +2 more
core
Efficient Deconvolution in Populational Inverse Problems
International Journal for Numerical Methods in Engineering, Volume 127, Issue 9, 15 May 2026.ABSTRACT This work is focused on the inversion task of inferring the distribution over parameters of interest, leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by the increasing availability of data, but a major roadblock is blind deconvolution, arising when the observational noise ...
Arnaud Vadeboncoeur +2 more
wiley +1 more source
To a nonlocal generalization of the Dirichlet problem
Journal of Inequalities and Applications, 2006 A mixed problem with a boundary Dirichlet condition and nonlocal integral condition is considered for a two-dimensional elliptic equation.The existence and uniqueness of a weak solution of this problem are proved in a weighted Sobolev space.
Berikelashvili Givi
doaj
Existence results for Navier problems with degenerated (p,q)-Laplacian and (p,q)-Biharmonic operators [PDF]
Results in Nonlinear Analysis, 2018 In this article, we prove the existence and uniqueness of solutions for the Navier problem \[ (P)\left\{ \begin{array}{llll} & {\Delta}{\big[}{\omega}(x)(\,{\vert{\Delta}u\vert}^{p-2}{\Delta}u + {\vert{\Delta}u\vert}^{q-2}{\Delta}u ...
Albo Carlos Cavalheiro
doaj
Integration Processes of Delay Differential Equation Based on Modified Laguerre Functions
Journal of Applied Mathematics, 2012 We propose long-time convergent numerical integration processes for delay differential equations. We first construct an integration process based on modified Laguerre functions.
Yeguo Sun
doaj +1 more source
Logarithmic Sobolev trace inequalities
, 2013 We prove a logarithmic Sobolev trace inequality in a gaussian space and we study the trace operator in the weighted Sobolev space W^{1,p}(\Omega,\gamma) for sufficiently regular domain.
Posteraro, M. R. +3 more
core +1 more source