Results 81 to 90 of about 4,920,301 (252)

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

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  

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  

A Note on Inclusions of Discrete Morrey Spaces [PDF]

arXiv, 2019
We give a necessary condition for inclusion relations between discrete Morrey spaces which can be seen as a complement of the results in \cite{GKS,HS2}. We also prove another inclusion property of discrete Morrey spaces which can be viewed as a generalization of the inclusion property of the spaces of $p$-summable sequences.
arxiv  

Introduction to Morrey spaces

, 2023
The present informal set of notes covers the material that has been presented by the author in a series of lectures for the Doctoral School in Mathematics of the Southern Federal State University of Rostov-on-Don in the Fall of 2020 and that develops from the first part of the notes that collect the material of the lectures of the author at the ...
openaire   +2 more sources

On generalized Hölder's inequality in weak Morrey Spaces [PDF]

arXiv, 2019
In this note we reprove generalized H\"{o}lder's inequality in weak Morrey spaces. In particular, we get sharper bounds than those in \cite{gunawan2}. The bounds are obtained through the relation of weak Morrey spaces and weak Lebesgue spaces.
arxiv  

On the identity of Morrey-Calkin and Schauder-Sobolev spaces [PDF]

, 1956
P. Szeptycki
openalex   +1 more source

Boundedness of composition operator in Orlicz-Morrey spaces [PDF]

arXiv
In this paper, we investigate necessary and sufficient conditions on the boundedness of composition operators on the Orlicz-Morrey spaces. The results of boundedness include Lebesgue and generalized Morrey spaces as special cases. Further, we characterize the boundedness of composition operators on the weak Orlicz-Morrey spaces.
arxiv