Results 81 to 90 of about 2,233 (221)
Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications
Electronic Journal of Differential Equations, 2019 In this article we prove a Logarithmic Sobolev type inequality and a Poincare type inequality for functions in the anisotropic Gaussian Sobolev space.
Filomena Feo, Gabriella Paderni
doaj
Phase‐Pole‐Free Images and Smooth Coil Sensitivity Maps by Regularized Nonlinear Inversion
Magnetic Resonance in Medicine, Volume 96, Issue 1, Page 134-145, July 2026.ABSTRACT Purpose Phase singularities are a common problem in image reconstruction with auto‐calibrated sensitivities due to an inherent ambiguity of the estimation problem. The purpose of this work is to develop a method for detecting and correcting phase poles in non‐linear inverse (NLINV) reconstruction of MR images and coil sensitivity maps ...
Moritz Blumenthal, Martin Uecker
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
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Removable Sets for Weighted Orlicz-Sobolev Spaces [PDF]
Computational Methods and Function Theory, 2019 11 ...
openaire +2 more sources
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley +1 more source
Interpolation inequalities in weighted Sobolev spaces
, 2008 In this paper we prove some interpolation inequalities between functions and their derivatives in the class of weighted Sobolev spaces defined on unbounded open subset Ω ⊂ R^n
Serena Boccia +3 more
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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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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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The Canadian Journal of Chemical Engineering, Volume 104, Issue 6, Page 3018-3037, June 2026.Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
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Sobolev spaces for the weighted ∂¯-Neumann operator
, 2017 We discuss compactness of the [Formula: see text]-Neumann operator in the setting of weighted [Formula: see text]-spaces on [Formula: see text] In addition we describe an approach to obtain the compactness estimates for the [Formula: see text]-Neumann ...
Friedrich Haslinger
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