Results 51 to 60 of about 772,908 (331)

Douglas' Factorization Theorem and Atomic System in Hilbert Pro-$C^{\ast}$-Modules [PDF]

Sahand Communications in Mathematical Analysis
In the present paper, we introduce  the generalized inverse operators, which have an exciting role in operator theory. We establish Douglas' factorization theorem type  for  the Hilbert pro-$C^{\ast}$-module.We introduce the notion of atomic system and ...
Mohamed Rossafi, Roumaissae Eljazzar, Ram Mohapatra   +2 more
doaj   +1 more source

PDEs in Moving Time Dependent Domains

, 2013
In this work we study partial differential equations defined in a domain that moves in time according to the flow of a given ordinary differential equation, starting out of a given initial domain.
AJ Chorin, G Duvaut, H Amann, H Amann, OA Ladyzhenskaya, P Hartman   +5 more
core   +2 more sources

Structural insights into lacto‐N‐biose I recognition by a family 32 carbohydrate‐binding module from Bifidobacterium bifidum

FEBS Letters, EarlyView.
Bifidobacterium bifidum establishes symbiosis with infants by metabolizing lacto‐N‐biose I (LNB) from human milk oligosaccharides (HMOs). The extracellular multidomain enzyme LnbB drives this process, releasing LNB via its catalytic glycoside hydrolase family 20 (GH20) lacto‐N‐biosidase domain.
Xinzhe Zhang, Naoki Sunagawa, Toma Kashima, Kiyohiko Igarashi, Akimasa Miyanaga, Shinya Fushinobu   +5 more
wiley   +1 more source

Stability of Stochastic Partial Differential Equations

Axioms, 2023
In this paper, we study the stability of the stochastic parabolic differential equation with dependent coefficients. We consider the stability of an abstract Cauchy problem for the solution of certain stochastic parabolic differential equations in a ...
Allaberen Ashyralyev, Ülker Okur
doaj   +1 more source

Fractional time stochastic partial differential equations [PDF]

, 2014
In this paper, we introduce a class of stochastic partial differential equations (SPDEs) with fractional time-derivatives, and study the $L_2$-theory of the equations.
Chen, Zhen-Qing, Kim, Kyeong-Hun, Kim, Panki   +2 more
core  

Reduced Differential Transform Method for (2+1) Dimensional type of the Zakharov-Kuznetsov ZK(n,n) Equations

, 2014
In this paper, reduced differential transform method (RDTM) is employed to approximate the solutions of (2+1) dimensional type of the Zakharov-Kuznetsov partial differential equations. We apply these method to two examples.
Acan, Omer, Keskin, Yildiray
core   +1 more source

The role and implications of mammalian cellular circadian entrainment

FEBS Letters, EarlyView.
At their most fundamental level, mammalian circadian rhythms occur inside every individual cell. To tell the correct time, cells must align (or ‘entrain’) their circadian rhythm to the external environment. In this review, we highlight how cells entrain to the major circadian cues of light, feeding and temperature, and the implications this has for our
Priya Crosby
wiley   +1 more source

Complex solutions of Monge-Amp\`ere equations

, 2011
We describe a method to reduce partial differential equations of Monge-Amp\`ere type in 4 variables to complex partial differential equations in 2 variables. To illustrate this method, we construct explicit holomorphic solutions of the special lagrangian
Banos, Banos, Banos, Bertrand Banos, Bonan, Bryant, Bryant, Bryant, Doubrov, Harvey, Hitchin, Hitchin, Hitchin, Hong, Joyce, Joyce, Joyce, Joyce, Joyce, Lychagin, Lychagin, Strominger   +21 more
core   +2 more sources

Crosstalk between the ribosome quality control‐associated E3 ubiquitin ligases LTN1 and RNF10

FEBS Letters, EarlyView.
Loss of the E3 ligase LTN1, the ubiquitin‐like modifier UFM1, or the deubiquitinating enzyme UFSP2 disrupts endoplasmic reticulum–ribosome quality control (ER‐RQC), a pathway that removes stalled ribosomes and faulty proteins. This disruption may trigger a compensatory response to ER‐RQC defects, including increased expression of the E3 ligase RNF10 ...
Yuxi Huang, Satoshi Hashimoto, Sota Ito, Chisato Kikuguchi, Miho Hoshi, Kiyoshi Yamaguchi, Yoichi Furukawa, Toru Suzuki, Toshifumi Inada   +8 more
wiley   +1 more source

Expand-contract plasticity on the real line

Frontiers in Applied Mathematics and Statistics
The study deals with plastic and non-plastic sub-spaces A of the real-line ℝ with the usual Euclidean metric d. It investigates non-expansive bijections, proves properties of such maps, and demonstrates their relevance by hands of examples.
Dirk Langemann, Olesia Zavarzina
doaj   +1 more source