Results 61 to 70 of about 4,328,107 (173)
Embeddings of a Multi-Weighted Anisotropic Sobolev Type Space
Қарағанды университетінің хабаршысы. Математика сериясыParameters such as various integral and differential characteristics of functions, smoothness properties of regions and their boundaries, as well as many classes of weight functions cause complex relationships and embedding conditions for multi-weighted
G.Sh. Iskakova +2 more
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Global Graph Surrogates and Neural Graph Elements for Computational Mechanics
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Machine learning surrogates are increasingly used to accelerate physics‐based simulations by predicting full‐field responses at a fraction of the computational cost. In this contribution, we present two complementary graph‐based approaches for surrogate modelling in computational mechanics.
Rutwik Gulakala, Marcus Stoffel
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Nonlinear potential theory and weighted Sobolev spaces
, 2000 The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually belongs to Muckenhoupt's class of Ap weights.
Turesson, Bengt Ove
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Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
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On a Mixed Nonlinear One Point Boundary Value Problem for an Integrodifferential Equation
Boundary Value Problems, 2008 This paper is devoted to the study of a mixed problem for a nonlinear parabolic integro-differential equation which mainly arise from a one dimensional quasistatic contact problem.
Said Mesloub
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Weighted Optimal Quadrature Formulas in Sobolev Space and Their Applications
AlgorithmsThe optimization of computational algorithms is one of the main problems of computational mathematics. This optimization is well demonstrated by the example of the theory of quadrature and cubature formulas.
Kholmat Shadimetov, Khojiakbar Usmanov
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Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
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Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces [PDF]
, 2005 We introduce a weighted reproducing kernel Hilbert space which is based on Walsh functions. The worst-case error for integration in this space is studied, especially with regard to (t,m,s)-nets.
Dick, Josef, Pillichshammer, Friedrich
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Weighted Sobolev spaces on metric measure spaces [PDF]
, 2019 We investigate weighted Sobolev spaces on metric measure spaces (X,d,m). Denoting by p the weight function, we compare the space W1,p(X,d, pm) (which always coincides with the closure H1,p(X, d, pm) of Lipschitz functions) with the weighted Sobolev ...
Speight, Gareth +2 more
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The Existence of Solutions to the Nonhomogeneous A-Harmonic Equations with Variable Exponent
Abstract and Applied Analysis, 2014 We first discuss the existence and uniqueness of weak solution for the obstacle problem of the nonhomogeneous A-harmonic equation with variable exponent, and then we obtain the existence of the solutions of the equation d⋆A(x,dω)=B(x,dω) in the weighted ...
Haiyu Wen
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