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
High‐Pressure Na‐Ca Carbonates in the Deep Carbon Cycle
This book is Open Access. A digital copy can be downloaded for free from Wiley Online Library.
Explores the behavior of carbon in minerals, melts, and fluids under extreme conditions
Carbon trapped in diamonds and carbonate-bearing rocks in subduction zones are examples of the continuing exchange of substantial carbon ...
Sergey Rashchenko +2 more
wiley +6 more sources
On the Lebesgue and Sobolev spaces on a time-scale [PDF]
We consider the generalized Lebesgue and Sobolev spaces on a bounded time-scale. We study the standard properties of these spaces and compare them to the classical known results for the Lebesgue and Sobolev spaces on a bounded interval.
Ewa Skrzypek +1 more
doaj +1 more source
Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs
Let G be an infinite connected graph. We introduce two kinds of multilinear fractional maximal operators on G. By assuming that the graph G satisfies certain geometric conditions, we establish the bounds for the above operators on the endpoint Sobolev ...
Suying Liu, Feng Liu
doaj +1 more source
Weighted Variable Exponent Sobolev spaces on metric measure spaces
In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
doaj +1 more source
Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces
Let s∈R and 2≤p≤∞. We prove that the Segal-Bargmann transform B is a bounded operator from fractional Hermite-Sobolev spaces WHs,pRn to fractional Fock-Sobolev spaces FRs,p.
Hong Rae Cho, Hyunil Choi, Han-Wool Lee
doaj +1 more source
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia +3 more
wiley +1 more source
Sobolev-Slobodeckij Spaces on Compact Manifolds, Revisited
In this manuscript, we present a coherent rigorous overview of the main properties of Sobolev-Slobodeckij spaces of sections of vector bundles on compact manifolds; results of this type are scattered through the literature and can be difficult to find. A
Ali Behzadan, Michael Holst
doaj +1 more source
Spatial‐Wavelength Multiplexing Error‐Controlled Photonic Analog Computing System
A novel photonic integrated circuit prototype implementing the concept of general‐purpose analog computing and demonstrate its capability in radio frequency applications. The chip features a multichannel architecture and performs fully optical analog computation with frequency‐domain parallel processing. An FPGA‐based error‐correction algorithm aims to
Tao Zhu +15 more
wiley +1 more source
Higher Order Sobolev-Type Spaces on the Real Line
This paper gives a characterization of Sobolev functions on the real line by means of pointwise inequalities involving finite differences. This is also shown to apply to more general Orlicz-Sobolev, Lorentz-Sobolev, and Lorentz-Karamata-Sobolev spaces.
Bogdan Bojarski +2 more
doaj +1 more source

