Results 71 to 80 of about 770,686 (284)

On the classical Volterra spectral equation

Discrete and Continuous Models and Applied Computational Science
We study the characterizations of the classical Volterra operator based on a simple relation between its singular numbers and the eigenvalues of its imaginary part on \( L^2[0,1] \).
Dashdondog Tsedenbayar, Bayaraa Ser-Od, Qiqige Wuren   +2 more
doaj   +1 more source

Poincaré Inequalities for Composition Operators with Lφ-Norm

Abstract and Applied Analysis, 2014
We establish the Poincaré-type inequalities for the composition of the homotopy operator, exterior derivative operator, and the projection operator with Lφ-norm applied to the nonhomogeneous A-harmonic equation in Lφ(Ω)-averaging domains.
Ru Fang
doaj   +1 more source

Interior penalty discontinuous galerkin methods for electromagnetic and acoustic wave equations [PDF]

, 2006
Introduction: In this thesis we present and analyze the numerical approximation of the second order electromagnetic and acoustic wave equation by the interior penalty (IP) discontinuous Galerkin (DG) finite element method (FEM).
Schneebeli, Anna
core   +1 more source

Loss of IGF‐1R impairs DNA‐PKcs recruitment to chromatin leading to defective end‐joining

Molecular Oncology, EarlyView.
IGF‐1R promotes radioresistance by facilitating DNA‐PKcs recruitment to chromatin, enabling non‐homologous end‐joining (NHEJ) repair of double‐strand breaks. Inhibition or loss of IGF‐1R disrupts this recruitment to damage sites, driving compensatory reliance on microhomology‐mediated end‐joining (MMEJ) repair.
Matthew O. Ellis, Jack V. Mills, Wojciech Niedzwiedz, Valentine M. Macaulay   +3 more
wiley   +1 more source

Inequalities for the Norm and the Numerical Radius of Linear Operators in Hilbert Spaces [PDF]

, 2005
In this paper various inequalities between the operator norm and its numerical radius are provided. For this purpose, we employ some classical inequalities for vectors in inner product spaces due to Buzano, Goldstein-Ryff- Clarke, Dragomir-Sándor and ...
Dragomir, Sever S
core   +4 more sources

Learning neural operators on Riemannian manifolds

National Science Open
Learning mappings between functions (operators) defined on complex computational domains is a common theoretical challenge in machine learning. Existing operator learning methods mainly focus on regular computational domains, and have many components ...
Chen Gengxiang, Liu Xu, Meng Qinglu, Chen Lu, Liu Changqing, Li Yingguang   +5 more
doaj   +1 more source

On the adjoint of a symmetric operator [PDF]

, 2007
In general it is a non-trivial task to determine the adjoint S* of an unbounded symmetric operator S in a Hilbert or Krein space. We propose a method to specify S* explicitly which makes use of two boundary mappings that satisfy an abstract Green's ...
Meda S., Nelly Villamizar, CATALISANO, MARIA VIRGINIA, E. CARLINI, Matilde Lalín, Saito, Morihiko, Mauceri G., Fernandes de Oliveira, GM, Yuzvinsky, Sergey, Nero Budur, Vallarino, Maria, PICCIONE, P., Matthias Langer, Behrndt, Jussi, Frank Sottile (7161257), Morihiko Saito, Hynek Kovařík, PEREIRA, Antonio L., M. V. CATALISANO, Budur, Nero, Langer, Matthias, Elisa Postinghel, Stefano Meda, Lotoreichik, Vladimir, JAVALOYES, M. A., Catalisano M.V, Carlini, Enrico, Mauceri, G., Giancarlo Mauceri, Sergey Yuzvinsky, CATALISANO M. V., PEREIRA, Marcone C., Jussi Behrndt, MAUCERI, GIANCARLO, Wadim Zudilin, Veys, Willem, S. Meda, Detchat Samart, M. Vallarino, Catalisano, M.V., G. Mauceri, Frank Sottile, Elisa Postinghel (2887796), BILIOTTI, L., Meda, S., Kovarik, Hynek, Maria Vallarino, Nelly Villamizar (7161260)   +47 more
core   +1 more source

Flow Enabled Target Capture Halbach‐based magnetic enrichment increases circulating tumor cell capture from blood in metastatic cancer patients

Molecular Oncology, EarlyView.
Pair‐wise comparison of the CellSearch and FETCH enrichment technologies for circulating tumor cells (CTCs) from metastatic breast, prostate, and small cell lung cancer patients shows an increased capture of CTCs using FETCH enrichment. The clinical implementation of circulating tumor cells (CTCs) as a predictive tool for therapy efficacy in the ...
Michiel Stevens, Anouk Mentink, Tom Niessink, Frank Coumans, Leonie Mekenkamp, Ruchi Bansal, Jeroen Hiltermann   +6 more
wiley   +1 more source

Norm estimates for operators in norm-attainable C*-algebras

European Journal of Mathematics and Applications, 2023
Norm estimates for various types of Banach algebra operators have been studied over decades with interesting results obtained. However, it still remains an open problem to determine the norm of an operator in a general Banach space setting. In this note,
Sabasi Omaoro, Benard Okelo, Omolo Ongati   +2 more
doaj  

USP29‐regulated noncanonical stabilization of the hypoxia‐inducible factor‐α in aggressive prostate cancer

Molecular Oncology, EarlyView.
We identify USP29 as the only DUB mirroring CA9 expression, a marker of hypoxia and HIF pathway activation associated with PCA aggressiveness. USP29 stabilizes HIF‐1α and HIF‐2α via a noncanonical mechanism that is independent of PHD/pVHL activity yet relies on proteasomal regulation, establishing USP29 as a previously unrecognized regulator of hypoxic
Amelie S Schober, Leire Moreno‐Cugnon, Laura Martínez‐Pérez, Amaia Ercilla, Amaia Zabala‐Letona, Adrián Vicente‐Barrueco, Maider Fagoaga‐Eugui, Saioa Garcia‐Longarte, Blanca Calle‐Ciborro, Encarnación Pérez‐Andrés, Onintza Carlevaris, Sara Pozo, Isabel Mendizabal, Ugo Mayor, Arkaitz Carracedo, Violaine Sée, Edurne Berra   +16 more
wiley   +1 more source