Results 111 to 120 of about 495,262 (315)

New definition of singular integral operator

open access: yesAnnals of Mathematics and Physics, 2023
Let D be a connected bounded domain in ℝ2, S be its boundary which is closed, connected and smooth or S = (-∞,∞). Let , f∈L1(S), z = x+iy. The singular integral operator , t∈S, is defined in a new way. This definition simplifies the proof of the existence of Φ(t).
openaire   +2 more sources

Direct Ink Writing of Conductive Hydrogels

open access: yesAdvanced Functional Materials, EarlyView.
This review examines the use of direct ink writing (DIW) for fabricating conductive hydrogels with customizable 3D structures. It outlines the rheological requirements for successful DIW, followed by an exploration of the materials and ink formulations used to impart electronic and/or ionic conductivity to hydrogels while maintaining printability ...
Monica Ho   +6 more
wiley   +1 more source

The CRITERII NOETHERIENE PENTRU ECUAŢII INTEGRALE SINGULARE PERTURBATE CU OPERATORI CU NUCLEE OMOGENE

open access: yesStudia Universitatis Moldaviae: Stiinte Umanistice, 2007
In this paper one class of perturbated integral singular operators with homogeneous kernels operators is studied. The Noetherian criteries and formulas for the calculation of indexes of these operators are established.
USM ADMIN
doaj  

Commutators with Lipschitz Functions and Nonintegral Operators

open access: yesJournal of Applied Mathematics, 2013
Let T be a singular nonintegral operator; that is, it does not have an integral representation by a kernel with size estimates, even rough. In this paper, we consider the boundedness of commutators with T and Lipschitz functions.
Peizhu Xie, Ruming Gong
doaj   +1 more source

$L^p$ estimates for the maximal singular integral in terms of the singular integral [PDF]

open access: yesarXiv, 2013
This paper continues the study, initiated in the works {MOV} and {MOPV}, of the problem of controlling the maximal singular integral $T^{*}f$ by the singular integral $Tf$. Here $T$ is a smooth homogeneous Calder\'on-Zygmund singular integral operator of convolution type.
arxiv  

Extracorporeal Catalytic Hemoperfusion Therapy for Refractory Septic Shock Using Ceria Nanoparticle‐Embedded Porous Microbeads

open access: yesAdvanced Functional Materials, EarlyView.
This study introduces an extracorporeal hemoperfusion system incorporating porous microbeads embedded with autocatalytic ceria nanoparticles (CeNPs) for targeted reactive oxygen species (ROS) scavenging in septic shock. The blood‐compatible hemoperfusion cartridge demonstrated significant improvements in survival, hemodynamic stability, and organ ...
Pilseon Im   +10 more
wiley   +1 more source

Generalized characteristic singular integral equation with Hilbert kernel [PDF]

open access: yesOpuscula Mathematica, 2008
In this paper an explicit solution of a generalized singular integral equation with a Hilbert kernel depending on indices of characteristic operators is presented.
Paweł Karczmarek
doaj  

Joule‐Assisted Nanotherapeutic Urethral Stent (JANUS) for Spatiotemporal Theragenerative Treatment of Urethral Strictures

open access: yesAdvanced Functional Materials, EarlyView.
Joule‐assisted nanotherapeutic urethral stent harnesses a smart, biodegradable magnesium stent to orchestrate spatiotemporal theragenerative therapy for urethral strictures. Magnetically induced Joule heating enables on‐demand drug release and bacterial ablation, while simultaneously guiding urothelial regeneration.
Yuhyun Na   +15 more
wiley   +1 more source

Hydrogel‐Based Photothermal‐Catalytic Membrane for Efficient Cogeneration of Freshwater and Hydrogen in Membrane Distillation System

open access: yesAdvanced Functional Materials, EarlyView.
This work presents an overview of the PTC‐VMD system for water‐hydrogen co‐generation. a) Illustration of the hydrogel‐based PTC membrane and the co‐generation of water and hydrogen. b) Structure of the PTC‐VMD system and the functions of each component layer.
Jiawei Sun   +7 more
wiley   +1 more source

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