Beyond Directions: Symmetry-Aware Rotation Sets for Triaxial Diffusion Encoding by Geometric Filter Optimization. [PDF]
Magn Reson MedABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations). Based on this, we propose a method to
Jespersen SN, Szczepankiewicz F.
europepmc +2 more sources
Simultaneous T<sub>2</sub>, T<sub>2</sub>*, and R<sub>2</sub>' Mapping for Multiple Sclerosis Using Nonlinear Model-Based Reconstruction of Undersampled Radial RARE-EPI MRI. [PDF]
Magn Reson MedABSTRACT Purpose To demonstrate the synergy of undersampled radial 2in1‐RARE‐EPI acquisition and nonlinear model‐based reconstruction for accelerated and simultaneous T2, T2*, and R2′ mapping in brains of patients with multiple sclerosis (MS). Methods 2in1‐RARE‐EPI combines a RARE module with an EPI module to capture T2 and T2* information.
Velasquez Vides JR +16 more
europepmc +2 more sources
Marine Anoxia and Ocean Acidification During the End‐Permian Extinction
Geophysical Monograph Series, Page 325-340., 2021 Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Ying Cui +4 more
wiley +5 more sources
Multipliers in weighted Sobolev spaces on the axis [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 This work establishes necessary and sufficient conditions for the boundedness of one variable differential operator acting from a weighted Sobolev space Wlp,v to a weighted Lebesgue space on the positive real half line.
A. Myrzagaliyeva
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On the approximation of solutions of one singular differential equation on the axis [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 In this paper we study the problem of the best approximation by linear methods of solutions to one Triebel-type equation. This problem was solved by using estimates of the linear widths of the unit ball in corresponding spaces of differentiable ...
A. S. Kassym, L. K. Kussainova
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On a New Parabolic Sobolev Embedding Map
Moroccan Journal of Pure and Applied Analysis, 2023 The purpose of the present article is to provide a new parabolic Sobolev embedding map between a parabolic weighted Sobolev space and the space of square-integrable functions on a cylinder. Furthermore, the embedding constant is furnished explicitly.
El Aidi Mohammed
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Journal of Function Spaces, 2022 In the paper, for a certain class of Hardy operators with kernels, we consider the problem of their boundedness from a second order weighted Sobolev space to a weighted Lebesgue space.
Aigerim Kalybay
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Vlasov-Poisson equation in weighted Sobolev space $W^{m, p}(w)$
Cubo, 2022 In this paper, we are concerned about the well-posedness of Vlasov-Poisson equation near vaccum in weighted Sobolev space $W^{m, p}(w).$ The most difficult part comes from estimates of the electronic term $\nabla_{x}\phi.$ To overcome this difficulty,
Cong He, Jingchun Chen
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Nonlinear Analysis, 2022 In this paper, we deal with the existence of solutions for a coupled system of integral equations in the Cartesian product of weighted Sobolev spaces E = Wω1,1 (a,b) x Wω1,1 (a,b).
Taqi A.M. Shatnawi +3 more
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Weighted Norm Inequalities for Multilinear Fourier Multipliers with Mixed Norm
Abstract and Applied Analysis, 2021 In this paper, weighted norm inequalities for multilinear Fourier multipliers satisfying Sobolev regularity with mixed norm are discussed. Our result can be understood as a generalization of the result by Fujita and Tomita by using the Lr-based Sobolev ...
Mai Fujita
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