Results 71 to 80 of about 773,316 (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

Artificial molecular machines and motors—Design and control of nanoscale motion

FEBS Letters, EarlyView.
Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
wiley   +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

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

The heterodimeric amino acid transporters (HAT) of the SLC7/SLC3 family: A structure−function relationships and relevance to human pathology

FEBS Letters, EarlyView.
Heterodimeric amino acid transporters consist of SLC7 and SLC3 family proteins arranged in a conserved structural organization. They regulate nutrient transport across cell membranes, supporting essential cellular functions. These transporters also contribute to xenobiotic/drug uptake and distribution.
Mariafrancesca Scalise, Tiziano Mazza, Raffaella Scanga, Lara Console, Michele Galluccio, Cesare Indiveri   +5 more
wiley   +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

Membrane composition and thermodynamic identity as boundaries of life for synthetic cell research

FEBS Letters, EarlyView.
What makes a cell a cell? The boundary of a living cell is not just a wall. Read as a Markov blanket, the membrane separates internal from external states, generating identity and non‐equilibrium order. Can this identity be rebuilt from scratch in a synthetic cell?
Caterina Presutti, Bert Poolman
wiley   +1 more source

A General Norm on Extension of a Hilbert’s Type Linear Operator

Journal of Mathematical Extension, 2010
The main purpose of this paper is to study a general norm on extension of a Hilbert’s type linear operator in the continuous and discrete form. In addition to expressing the norm of a Hilbert’s type linear operator T : L 2 (0,∞) → L 2 (0,∞), a ...
Z. Jokar, J. Behboodian
doaj