Results 91 to 100 of about 1,083,140 (374)

LEVEL SETS OF THE RESOLVENT NORM OF A LINEAR OPERATOR REVISITED [PDF]

, 2014
It is proved that the resolvent norm of an operator with a compact resolvent on a Banach space $X$ cannot be constant on an open set if the underlying space or its dual is complex strictly convex.
E. Brian Davies, E. Shargorodsky
semanticscholar   +1 more source

Spectral discretization errors in filtered subspace iteration [PDF]

, 2019
We consider filtered subspace iteration for approximating a cluster of eigenvalues (and its associated eigenspace) of a (possibly unbounded) selfadjoint operator in a Hilbert space.
Gopalakrishnan, Jay, Grubišić, Luka, Ovall, Jeffrey   +2 more
core   +2 more sources

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

PARP inhibitors elicit distinct transcriptional programs in homologous recombination competent castration‐resistant prostate cancer

Molecular Oncology, EarlyView.
PARP inhibitors are used to treat a small subset of prostate cancer patients. These studies reveal that PARP1 activity and expression are different between European American and African American prostate cancer tissue samples. Additionally, different PARP inhibitors cause unique and overlapping transcriptional changes, notably, p53 pathway upregulation.
Moriah L. Cunningham, Jasibel Vasquez‐Gonzalez, Samantha M. Barnada, Salome Tchotorlishvili, Latese Jones, Ryan Maguire, Genevieve Lewis, Kinza Rizwan, Jenny Deng, Salma Koachar, Drithi Patel, Hailey Shankle, Tessa Mulders, Namra Ajmal, Charalambos Solomides, Emad S. Alnemri, Teresa F. Alnemri, Ayesha A. Shafi, Leonard G. Gomella, Wm Kevin Kelly, Steven B. McMahon, Matthew J. Schiewer   +21 more
wiley   +1 more source

Vlasov Equation In Magnetic Field

, 1999
The linearized Vlasov equation for a plasma system in a uniform magnetic field and the corresponding linear Vlasov operator are studied. The spectrum and the corresponding eigenfunctions of the Vlasov operator are found.
Arthur M D, Backus G, Balescu R, Biao Wu, Case K M, Courant R, Ichimaru S, Landau L, Van Kampen N G, Van Kampen N G, Vlasov A   +10 more
core   +1 more source

Bridging the gap: Multi‐stakeholder perspectives of molecular diagnostics in oncology

Molecular Oncology, EarlyView.
Although molecular diagnostics is transforming cancer care, implementing novel technologies remains challenging. This study identifies unmet needs and technology requirements through a two‐step stakeholder involvement. Liquid biopsies for monitoring applications and predictive biomarker testing emerge as key unmet needs. Technology requirements vary by
Jorine Arnouts, Senada Koljenović, Elise Daems, Karolien De Wael, Marc Peeters, Léon C. van Kempen, Greetje Vanhoutte, Karen Zwaenepoel, Timon Vandamme   +8 more
wiley   +1 more source

On Cayley Identity for Self-Adjoint Operators in Hilbert Spaces [PDF]

, 2011
We prove an analogue to the Cayley identity for an arbitrary self-adjoint operator in a Hilbert space. We also provide two new ways to characterize vectors belonging to the singular spectral subspace in terms of the analytic properties of the resolvent ...
Alexander V. Kiselev, N. Naboko, Serguei
core  

Resolvent Estimates in L^p for the Stokes Operator in Lipschitz Domains

, 2012
We establish the $L^p$ resolvent estimates for the Stokes operator in Lipschitz domains in $R^d$, $d\ge 3$ for $|\frac{1}{p}-1/2|< \frac{1}{2d} +\epsilon$.
B. Dahlberg, B. Dahlberg, D. Fujiwara, D. Jerison, D. Jerison, E. Fabes, E. Fabes, E. Stein, G. Verchota, H. Fujita, L. Caffarelli, M. Mitrea, M. Mitrea, P. Deuring, P. Deuring, P. Deuring, R. Brown, R. Brown, R. Coifman, V.A. Solonnikov, Y. Giga, Y. Giga, Z. Shen, Z. Shen, Z. Shen, Z. Shen, Zhongwei Shen   +26 more
core   +1 more source

In vitro properties of patient serum predict clinical outcome after high dose rate brachytherapy of hepatocellular carcinoma

Molecular Oncology, EarlyView.
Following high dose rate brachytherapy (HDR‐BT) for hepatocellular carcinoma (HCC), patients were classified as responders and nonresponders. Post‐therapy serum induced increased BrdU incorporation and Cyclin E expression of Huh7 and HepG2 cells in nonresponders, but decreased levels in responders.
Lukas Salvermoser, Jan Niklas Schäfer, Shraga Nahum Goldberg, Philipp Maximilian Kazmierczak, Moritz Nikolaus Gröper, Philipp Franz Linden, Elif Öcal, Tanja Burkard, Stefanie Corradini, Najib Ben Khaled, Moritz Wildgruber, Max Seidensticker, Jens Ricke, Matthias Stechele, Marianna Alunni‐Fabbroni   +14 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