Results 101 to 110 of about 402,994 (249)

Modelling diagenetic reactions and secondary porosity generation in sandstones controlled by the advection of low‐molecular‐weight organic acids

Basin Research, Volume 36, Issue 2, March–April 2024.
The caption of this graphical abstract is as follows: Schematic representation of the reconstructed diagenetic evolution model showing the stepwise mechanisms resulting in the higher secondary porosity in the central part of a sandstone unit. The middle interval B has a better grain sorting, resulting in a greater depositional porosity.
Huan Li, Jay R. Black, Yiwei Hao, Peng Hao, Achyut Mishra, Ralf R. Haese   +5 more
wiley   +1 more source

Imbedding estimates and elliptic equations with discontinuous coefficients in unbounded domains [PDF]

, 1996
In this paper we deal with the multiplication operator u ∈ W^{k,p} (Ω) → gu ∈ L^q (Ω), with g belonging to a space of Morrey type. We apply our results in order to establish an a-priori bound for the solutions of the Dirichlet problem concerning elliptic
CAVALIERE P., LONGOBARDI, MARIA, VITOLO A.   +2 more
core  

Explicit improvements for Lp$\mathrm{L}^p$‐estimates related to elliptic systems

Bulletin of the London Mathematical Society, Volume 56, Issue 3, Page 914-930, March 2024.
Abstract We give a simple argument to obtain Lp$\mathrm{L}^p$‐boundedness for heat semigroups associated to uniformly strongly elliptic systems on Rd$\mathbb {R}^d$ by using Stein interpolation between Gaussian estimates and hypercontractivity. Our results give p$p$ explicitly in terms of ellipticity. It is optimal at the endpoint p=∞$p=\infty$.
Tim Böhnlein, Moritz Egert
wiley   +1 more source

Generalized Fractional Integral Operators on Generalized Local Morrey Spaces

Journal of Function Spaces, 2015
We study the continuity properties of the generalized fractional integral operator Iρ on the generalized local Morrey spaces LMp,φ{x0} and generalized Morrey spaces Mp,φ. We find conditions on the triple (φ1,φ2,ρ) which ensure the Spanne-type boundedness
V. S. Guliyev, A. F. Ismayilova, A. Kucukaslan, A. Serbetci   +3 more
doaj   +1 more source

Third Version of Weak Orlicz--Morrey Spaces and Its Inclusion Properties [PDF]

arXiv, 2018
Orlicz--Morrey spaces are generalizations of Orlicz spaces and Morrey spaces which were first introduced by Nakai. There are three versions of Orlicz--Morrey spaces, i.e: Nakai's (2004), Sawano--Sugano--Tanaka's (2012), and Deringoz--Guliyev--Samko's (2014) versions.
arxiv  

On the Derivation of Closed‐Form Expressions for Displacements, Strains, and Stresses Inside Poroelastic Reservoirs

Journal of Geophysical Research: Solid Earth, Volume 129, Issue 2, February 2024.
Abstract We critically review the derivation of closed‐form analytical expressions for elastic displacements, strains, and stresses inside a subsurface reservoir undergoing pore pressure changes using inclusion theory. Although developed decades ago, inclusion theory has been used recently by various authors to obtain fast estimates of depletion ...
P. Cornelissen, B. J. Meulenbroek, J. D. Jansen   +2 more
wiley   +1 more source

Poisson equations and Morrey spaces

Journal of Mathematical Analysis and Applications, 1992
< i. < n. (For the precise statement see Section 1). The solution we consider is a very weak one introduced in [LSW] because in general the Dirichlet problem for Eq. (*) does not have a weak (variational) solution under our assumption onf. The purpose of our work is to study the regularity properties of the solu- tion as the parameter A increases from ...
openaire   +3 more sources

A Weighted Variant of Riemann-Liouville Fractional Integrals on ℝn

Abstract and Applied Analysis, 2012
We introduce certain type of weighted variant of Riemann-Liouville fractional integral on ℝn and obtain its sharp bounds on the central Morrey and λ-central BMO spaces.
Zun Wei Fu, Shan Zhen Lu, Wen Yuan
doaj   +1 more source

Morrey-Sobolev Spaces on Metric Measure Spaces [PDF]

arXiv, 2013
In this article, the authors introduce the Newton-Morrey-Sobolev space on a metric measure space $(\mathscr{X},d,\mu)$. The embedding of the Newton-Morrey-Sobolev space into the H\"older space is obtained if $\mathscr{X}$ supports a weak Poincar\'e inequality and the measure $\mu$ is doubling and satisfies a lower bounded condition.
arxiv  

Integral Operators in Grand Morrey Spaces [PDF]

arXiv, 2010
We introduce grand Morrey spaces and establish the boundedness of Hardy--Littlewood maximal, Calder\'on--Zygmund and potential operators in these spaces. In our case the operators and grand Morrey spaces are defined on quasi-metric measure spaces with doubling measure. The results are new even for Euclidean spaces.
arxiv