Results 91 to 100 of about 2,233 (221)
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
doaj +1 more source
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
Good lattice rules with a composite number of points based on the product weighted star discrepancy
, 2008 Rank-1 lattice rules based on a weighted star discrepancy with weights of a product form have been previously constructed under the assumption that the number of points is prime. Here, we extend these results to the non-prime case.
Vasile Sinescu +3 more
core +1 more source
On multipliers in weighted Sobolev spaces. Part II
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,
A. Myrzagaliyeva
doaj
Results in Applied MathematicsThis study investigates the existence of weak solutions for nonlinear anisotropic elliptic equations characterized by non-local boundary conditions within anisotropic weighted variable exponent Sobolev spaces. By employing variational methods and compact
Soumia EL OMARI, Said Melliani
doaj +1 more source
Approximation by Polynomials in Sobolev Spaces with Jacobi Weight [PDF]
Journal of Fourier Analysis and Applications, 2017 Final form. Accepted J.
openaire +2 more sources
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
Construction of lattice rules for multiple integration based on a weighted discrepancy
, 2008 High-dimensional integrals arise in a variety of areas, including quantum physics, the physics and chemistry of molecules, statistical mechanics and more recently, in financial applications. In order to approximate multidimensional integrals, one may use
Sinescu, Vasile
core
Weighted Sobolev spaces applied to nonlinear Klein-Gordon equation
, 1999 In this work we study the decay properties of the semilinear Klein-Gordon equation with nonlinearity of fractional order. By the aid of a suitable generalization of the weighted Sobolev spaces we define the weighted Sobolev spaces on the upper branch of ...
GUEORGUIEV, VLADIMIR SIMEONOV +3 more
core +1 more source