Results 131 to 140 of about 1,344,795 (373)

The Resolvent of Closed Extensions of Cone Differential Operators [PDF]

Canadian Journal of Mathematics, 2005
AbstractWe study closed extensions of an elliptic differential operator A on amanifold with conical singularities, acting as an unbounded operator on a weighted Lp-space. Under suitable conditions we show that the resolvent exists in a sector of the complex plane and decays like as Moreover, we determine the structure of the resolvent with enough ...
E. Schrohe, SEILER, JOERG
openaire   +4 more sources

Addressing persistent challenges in digital image analysis of cancer tissue: resources developed from a hackathon

Molecular Oncology, EarlyView.
Large multidimensional digital images of cancer tissue are becoming prolific, but many challenges exist to automatically extract relevant information from them using computational tools. We describe publicly available resources that have been developed jointly by expert and non‐expert computational biologists working together during a virtual hackathon
Sandhya Prabhakaran, Clarence Yapp, Gregory J. Baker, Johanna Beyer, Young Hwan Chang, Allison L. Creason, Robert Krueger, Jeremy Muhlich, Nathan Heath Patterson, Kevin Sidak, Damir Sudar, Adam J. Taylor, Luke Ternes, Jakob Troidl, Xie Yubin, Artem Sokolov, Darren R. Tyson   +16 more
wiley   +1 more source

Generalized variational inclusion: graph convergence and dynamical system approach

AIMS Mathematics
This work focused on the investigation of a generalized variation inclusion problem. The resolvent operator for generalized $ \eta $-co-monotone mapping was structured, the Lipschitz constant was estimated and its relationship with the graph convergence ...
Doaa Filali , Mohammad Dilshad , Mohammad Akram   +2 more
doaj   +1 more source

Approximation solvability for a system of implicit nonlinear variational inclusions with Η-monotone operators

Demonstratio Mathematica, 2018
In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces.
Kim Jong Kyu, Bhat Muhammad Iqbal
doaj   +1 more source

Infinite products of resolvents of accretive operators [PDF]

Topological Methods in Nonlinear Analysis, 2000
We study the space $\mathcal M_m$ of all $m$-accretive operators on a Banach space $X$ endowed with an appropriate complete metrizable uniformity and the space $\overline{\mathcal M}{}^*_m$ which is the closure in $\mathcal M_m$ of all those operators which have a zero.
Reich, Simeon, Zaslavski, Alexander J.
openaire   +3 more sources

Targeted metabolomics reveals novel diagnostic biomarkers for colorectal cancer

Molecular Oncology, EarlyView.
This study employed targeted metabolomic profiling to identify 302 distinct metabolites present in platelet‐rich plasma (PRP), revealing aberrant metabolic profiles amongst individuals diagnosed with colorectal cancer (CRC). Compared to carcinoembryonic antigen (CEA) and cancer antigen 19‐9 (CA199), our metabolite panel showed improved sensitivity ...
Zuojian Hu, Fenglin Shen, Yang Liu, Ziqing Zhong, Yongling Chen, Zhiyuan Xia, Cuiju Mo, Hongxiu Yu   +7 more
wiley   +1 more source

On generalized Yosida inclusion problem with application

Results in Control and Optimization, 2023
Herein, a generalized Yosida inclusion problem involving Φ-relaxed co-accretive mapping is investigated. The resolvent and analogous generalized Yosida approximation operator is explicated and its characteristics are outlined.
Mohammad Akram
doaj  

From semiclassical Strichartz estimates to uniform $L^p$ resolvent estimates on compact manifolds

, 2017
We prove uniform $L^p$ resolvent estimates for the stationary damped wave operator. The uniform $L^p$ resolvent estimates for the Laplace operator on a compact smooth Riemannian manifold without boundary were first established by Dos Santos Ferreira ...
Burq, Nicolas, Ferreira, David Dos Santos, Krupchyk, Katya   +2 more
core   +2 more sources

A local directional growth estimate of the resolvent norm [PDF]

arXiv, 2018
We study the resolvent norm of a certain class of closed linear operators on a Hilbert space, including unbounded operators with compact resolvent. It is shown that for any point in the resolvent set there exist directions in which the norm grows at least quadratically with the distance from this point.
arxiv  

Spectral representation of the resolvent of a discrete operator

Journal of Functional Analysis, 1988
AbstractLet T be a discrete linear operator in a Hilbert space H with spectrum σ(T) = λii = 1∞, let Rλ(T) denote the resolvent of T, and let Pi denote the projection of H onto the generalized eigenspace N((γi,I − T)mj) along R((γi, I − T)mj), where mi is the ascent of the operator λiI − T. In this paper it is shown that Rγ = ∑∞i=1∑mjj=1(−Ni)j−1Pi(γ − γ)
Patrick Lang, John Locker
openaire   +2 more sources