Results 191 to 200 of about 5,210,310 (318)
A note on optimal Hermite interpolation in Sobolev spaces [PDF]
, 2022 Guiqiao Xu, Xiaochen Yu
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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
Sobolev embeddings in Musielak-Orlicz spaces
Cianchi A, Diening L. Sobolev embeddings in Musielak-Orlicz spaces. Advances in Mathematics. 2024;447: 109679.An embedding theorem for Sobolev spaces built upon general Musielak-Orlicz norms is offered.
Diening, Lars ; https://orcid.org/ +1 more
core +1 more source
Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces [PDF]
, 2014 Peter Hellekalek +2 more
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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
Stokes problem with several types of boundary conditions in an exterior domain
Electronic Journal of Differential Equations, 2013 In this article, we solve the Stokes problem in an exterior domain of $\mathbb{R}^{3}$, with non-standard boundary conditions. Our approach uses weighted Sobolev spaces to prove the existence, uniqueness of weak and strong solutions.
Cherif Amrouche, Mohamed Meslameni
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Sobolev-type inequality for spaces L^{p(x)}(\mathbb{R}^{N})
, 2007 R.A. Mashiyev, B. Cekic
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Elliptic pseudodifferential equations and Sobolev spaces overp-adic fields [PDF]
, 2010 J. J. Rodríguez-Vega +1 more
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Persistence of solutions to nonlinear evolution equations in weighted Sobolev spaces
Electronic Journal of Differential Equations, 2010 In this article, we prove that the initial value problem associated with the Korteweg-de Vries equation is well-posed in weighted Sobolev spaces $mathcal{X}^{s,heta}$, for $s geq 2heta ge 2$ and the initial value problem associated with the nonlinear
Xavier Carvajal Paredes +1 more
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