Results 81 to 90 of about 27,468 (197)
Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin +5 more
wiley +1 more source
Nonlinear degenerate elliptic equations in weighted Sobolev spaces
Electronic Journal of Differential Equations, 2020 We study the existence of solutions for the nonlinear degenerated elliptic problem $$\displaylines{ -\operatorname{div} a(x,u,\nabla u)=f \quad\text{in } \Omega,\cr u=0 \quad\text{on }\partial\Omega, }$$ where $\Omega$ is a bounded open set in ...
Aharrouch Benali, Bennouna Jaouad
doaj
Eigenvalue problems for a class of singular quasilinear elliptic equations in weighted spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, by using the Galerkin method and the generalized Brouwer's theorem, some problems of the higher eigenvalues are studied for a class of singular quasiliner elliptic equations in the weighted Sobolev spaces.
Gao Jia, Mei-ling Zhao, Fang-lan Li
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Sampling in a weighted Sobolev space
Comptes Rendus. Mathématique, 2012 We show that functions f in some weighted Sobolev space are completely determined by time-frequency samples {f(tn)}n∈Z∪{fˆ(λk)}k∈Z along appropriate slowly increasing sequences {tn}n∈Z and {λn}n∈Z tending to ±∞ as n→±∞.
Acala, Nestor G., Reyes, Noli N.
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On MAP Estimates and Source Conditions for Drift Identification in SDEs
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck +3 more
wiley +1 more source
On multipliers in weighted Sobolev spaces. Part I
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 Let X, Y be Banach spaces whose elements are functions y : Ω → R. We say that a function z : Ω → R is apointwise multiplier on the pair (X, Y ), if T x = zx ∈ Y and the operator T : X → Y is bounded. M(X → Y )denotes the multiplier space on the pair (X,
L. Kussainova, A. Myrzagaliyeva
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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
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
doaj
Regularity results for p-Laplacians in pre-fractal domains
Advances in Nonlinear Analysis, 2018 We study obstacle problems involving p-Laplace-type operators in non-convex polygons. We establish regularity results in terms of weighted Sobolev spaces. As applications, we obtain estimates for the FEM approximation for obstacle problems in pre-fractal
Capitanelli Raffaela +2 more
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Coercive inequalities on weighted Sobolev spaces [PDF]
Colloquium Mathematicum, 1993 Let \(P_j= (P_{j1}, \dots, P_{jk})\) \((j=1, \dots, N)\) be scalar differential operators of order \(m\), acting on vector-valued functions \(f= (f_1, \dots, f_k)\): \[ P_j f=\sum_{i=1}^k P_{ji} f_i, \qquad P_{ji} g(x)= \sum_{|\alpha|\leq m} a_{\alpha, j,i} (x) Dg(x).
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