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
High‐Pressure Na‐Ca Carbonates in the Deep Carbon Cycle
Geophysical Monograph Series, Page 127-136., 2020 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
Regularity of Stochastic Kinetic Equations [PDF]
, 2016 We consider regularity properties of stochastic kinetic equations with multiplicative noise and drift term which belongs to a space of mixed regularity ($L^p$-regularity in the velocity-variable and Sobolev regularity in the space-variable).
Fedrizzi, Ennio +3 more
core +5 more sources
Sobolev subspaces of nowhere bounded functions [PDF]
, 2016 We prove that in any Sobolev space which is subcritical with respect to the Sobolev Embedding Theorem there exists a closed infinite dimensional linear subspace whose non zero elements are nowhere bounded functions.
Lamberti, PIER DOMENICO +1 more
core +3 more sources
$L^p$-Taylor approximations characterize the Sobolev space $W^{1,p}$ [PDF]
, 2015 In this note, we introduce a variant of Calder\'on and Zygmund's notion of $L^p$-differentiability - an \emph{$L^p$-Taylor approximation}. Our first result is that functions in the Sobolev space $W^{1,p}(\mathbb{R}^N)$ possess a first order $L^p$-Taylor ...
Spector, Daniel E.
core +3 more sources
On Newton--Sobolev spaces [PDF]
Publicationes Mathematicae Debrecen, 2017 Newton-Sobolev spaces, as presented by N. Shanmugalingam, describe a way to extend Sobolev spaces to the metric setting via upper gradients, for metric spaces with `sufficient' paths of finite length. Sometimes, as is the case of parabolic metrics, most curves are non-rectifiable.
openaire +3 more sources
Concerning the pathological set in the context of probabilistic well-posedness
Comptes Rendus. Mathématique, 2021 We prove a complementary result to the probabilistic well-posedness for the nonlinear wave equation. More precisely, we show that there is a dense set $S$ of the Sobolev space of super-critical regularity such that (in sharp contrast with the ...
Sun, Chenmin, Tzvetkov, Nikolay
doaj +1 more source
Sobolev capacity on the space W1, p(⋅)(ℝn)
Journal of Function Spaces and Applications, 2003 We define Sobolev capacity on the generalized Sobolev space W1, p(⋅)(ℝn). It is a Choquet capacity provided that the variable exponent p:ℝn→[1,∞) is bounded away from 1 and ∞.
Petteri Harjulehto +3 more
doaj +1 more source
Entropy, 2018 We investigate the exponential convergence of a Markovian semigroup in the Zygmund space under the assumption of logarithmic Sobolev inequality. We show that the convergence rate is greater than the logarithmic Sobolev constant.
Ichiro Shigekawa
doaj +1 more source
On Trace Theorems for Sobolev Spaces
Le Matematiche, 2019 We survey a few trace theorems for Sobolev spaces on $N$-dimensional Euclidean domains. We include known results on linear subspaces, in particular hyperspaces, and smooth boundaries, as well as less known results for Lipschitz boundaries, including Besov's Theorem and other characterizations of traces on planar domains, polygons in particular, in the ...
Lamberti, PD, Provenzano, L
openaire +3 more sources