Results 31 to 40 of about 4,008,571 (171)
Compact embeddings of broken Sobolev spaces and applications [PDF]
, 2009 In this paper, we present several extensions of theoretical tools for the analysis of discontinuous Galerkin (DG) method beyond the linear case.
Buffa, Annalisa, Ortner, Christoph
core +1 more source
Fourier Series of Gegenbauer-Sobolev Polynomials [PDF]
, 2018 We study the partial sum operator for a Sobolev-type inner product related to the classical Gegenbauer polynomials. A complete characterization of the partial sum operator in an appropriate Sobolev space is given.
Ciaurri, Ó. +6 more
core +1 more source
Multivariate box spline wavelets in higher-dimensional Sobolev spaces
Journal of Inequalities and Applications, 2018 We construct wavelets and derive a density condition of MRA in a higher-dimensional Sobolev space. We give necessary and sufficient conditions for orthonormality of wavelets in Hs(Rd) $H^{s}(\mathbb {R}^{d})$.
Raj Kumar, Manish Chauhan
doaj +1 more source
Final State Problem for the Dirac-Klein-Gordon Equations in Two Space Dimensions
Abstract and Applied Analysis, 2013 We study the final state problem for the Dirac-Klein-Gordon equations (DKG) in two space dimensions. We prove that if the nonresonance mass condition is satisfied, then the wave operator for DKG is well defined from a neighborhood at the origin in lower ...
Masahiro Ikeda
doaj +1 more source
Optimal interpolation formulas in the Sobolev space of periodic functions
Results in Applied MathematicsThe problem of finding the extremal function of an interpolation formula and of evaluating the norm of the error functional in the Sobolev space was first posed by S.L.Sobolev. In that work (Sobolev, 1961 [1] ), the extremal function of the interpolation
Kholmat Shadimetov, Khurshidjon Khayatov
doaj +1 more source
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation
Boundary Value Problems, 2022 In this paper, we address the Hall-MHD equations with partial dissipation. Applying some important inequalities (such as the logarithmic Sobolev inequality using BMO space, bilinear estimates in BMO space, Young’s inequality, cancellation property ...
Baoying Du
doaj +1 more source
Robots and Minimal, Physics‐Informed Features: A Hybrid Framework for Enzyme Catalysis
Advanced Science, EarlyView.Robotic experimentation and physics‐informed machine learning combine to predict enzyme substrate scope. With a handful of interpretable features derived from docking and quantum mechanics calculations, our model rivals descriptor‐heavy AI approaches and extrapolates to unseen substrates and enzyme classes.
Natalia Onishchenko +8 more
wiley +1 more source
Weighted Variable Sobolev Spaces and Capacity
Journal of Function Spaces and Applications, 2012 We define weighted variable Sobolev capacity and discuss properties of capacity in the space 𝑊1,𝑝(⋅)(ℝ𝑛,𝑤). We investigate the role of capacity in the pointwise definition of functions in this space if the Hardy-Littlewood maximal operator is bounded on ...
Ismail Aydin
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Advanced Physics Research, EarlyView.This graphical abstract illustrates the unified framework of Data Field Theory (DFT), integrating hyperbolic geometry for hierarchical embedding, gauge theory for internal symmetries, renormalization group for multi‐scale dynamics, Lévy processes for heavy‐tailed fluctuations, noncommutative geometry for quantum‐inspired cognition, and higher ...
Mohammadreza Nehzati
wiley +1 more source
A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces
Journal of Inequalities and Applications, 2016 In recent years, nonhomogeneous wavelet frames have attracted some mathematicians’ interest. This paper investigates such problems in a Sobolev space setting. A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces pairs is obtained.
Jian-Ping Zhang, Yun-Zhang Li
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