Marine Anoxia and Ocean Acidification During the End‐Permian Extinction
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
Traces of weighted Sobolev spaces. Old and new
International audienceWe give short simple proofs of Uspenskii's results characterizing Besov spaces as trace spaces of weighted Sobolev spaces. We generalize Uspenskii's results and prove the optimality of these generalizations.
Russ, Emmanuel, Mironescu, Petru
core +10 more sources
Weighted Sobolev spaces on curves [PDF]
45 pages, no figures.-- MSC1987 codes: 41A10, 46E35, 46G10.MR#: MR1934626 (2003j:46038)Zbl#: Zbl 1019.46026In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete for non ...
Pestana, Domingo +3 more
core +1 more source
Beyond Directions: Symmetry-Aware Rotation Sets for Triaxial Diffusion Encoding by Geometric Filter Optimization. [PDF]
ABSTRACT 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
Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, I [PDF]
36 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.-- Part II of this paper published in: Approx. Theory Appl. 18(2): 1-32 (2002), available at: http://e-archivo.uc3m.es/handle/10016/6483MR#: MR2047389 (2005k:42062)Zbl#: Zbl 1081.42024In this ...
Pestana, Domingo +3 more
core +1 more source
Norms of certain operators on weighted L-spaces and Lorentz sequence spaces. [PDF]
The problem addressed is the exact determination of the norms of the classical Hilbert, Copson and averaging operators on weighted spaces and the corresponding Lorentz sequence spaces , with the power weighting sequence or the variant defined by .
Jameson, Graham J. O., Lashkaripour, R.
core +4 more sources
Component-by-component construction of good intermediate-rank lattice rules [PDF]
It is known that the generating vector of a rank-1 lattice rule can be constructed component-by-component to achieve strong tractability error bounds in both weighted Korobov spaces and weighted Sobolev spaces.
Joe, Stephen, Kuo, Frances Y.
core +1 more source
Compact embeddings of broken Sobolev spaces and applications [PDF]
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
Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains [PDF]
Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
M. Mitrea +3 more
core +1 more source
Construction of Good Rank-1 Lattice Rules Based on the Weighted Star Discrepancy [PDF]
The ‘goodness’ of a set of quadrature points in [0, 1]d may be measured by the weighted star discrepancy. If the weights for the weighted star discrepancy are summable, then we show that for n prime there exist n-point rank-1 lattice rules whose weighted
Joe, Stephen
core +1 more source

