Results 121 to 130 of about 2,695 (277)

Bounds for the gradient of the transition kernel for elliptic operators with unbounded diffusion, drift and potential terms

Discrete and Continuous Dynamical Systems - S
We prove global Sobolev regularity and pointwise upper bounds for the gradient of transition densities associated with second order differential operators in $\mathbb{R}^d$ with unbounded diffusion, drift and potential terms.
Markus Kunze, Marianna Porfido, Abdelaziz Rhandi   +2 more
openaire   +3 more sources

Dual‐Functional Silent‐Region SERS Nanoplatform for Real‐Time Bacterial Tracking and Wound Healing Therapy

Advanced Science, EarlyView.
ABSTRACT Bacterial wound infections, particularly those caused by Escherichia coli and Pseudomonas aeruginosa, are difficult to treat due to biofilm formation, multidrug resistance, and chronic inflammation. Here, we report a multifunctional nanoplatform based on a surface‐enhanced Raman scattering (SERS) probe that enables simultaneous photodynamic ...
Hanbin Deng, Rui Wang, Dianqi Zhang, Wei Zhang, Jaebum Choo, Fabiao Yu, Shaowen Cheng   +6 more
wiley   +1 more source

Neuropeptide Y—Graphene Oxide Complexes Inhibit Amygdala NPY‐Receptor Expressing Glutamatergic Pathways and Selectively Remove Aversive Memory In Vivo

Advanced Science, EarlyView.
A graphene oxide nanocarrier presents neuropeptide Y specifically to NPY receptor‐expressing pathways in the amygdala, whose activation selectively suppresses aversive memory formation, without modulating anxiety responses. This circuit‐restricted drug release strategy may impact future design of neuropsychiatric therapies with limited off‐target ...
Elisa Pati, Audrey Franceschi Biagioni, Raffaele Casani, Luis M. Arellano, Tommaso Battisti, Gloria Garcia‐Ortega, Neus Lozano, Alberto Bianco, Kostas Kostarelos, Laura Ballerini, Giada Cellot   +10 more
wiley   +1 more source

A theory of unbounded generalized scalar operators

, 1972
In this paper is presented a theory of unbounded operators which admit spectral distributions. The compactness of the support in the bounded case has been replaced by certain growth conditions at infinity.
Brian Kritt
core   +1 more source

Maximizing Nanoscale Disorder in Block Copolymers for Orientation‐Independent SERS Platform Toward Non‐Invasive Diagnostics

Advanced Science, EarlyView.
Maximizing Nanoscale Disorder in Block Copolymers for Orientation‐Independent SERS Platform toward Non‐Invasive Diagnostics is a nature‐inspired strategy that engineers controlled randomness within block copolymer lamellae to achieve optical isotropy without compromising nanoscale periodicity.
Jin Man Kim, Wonsik Kim, Wansun Kim, Yeon‐Hee Kim, Samjin Choi, Jang Hwan Kim, Hyeong Min Jin   +6 more
wiley   +1 more source

On unbounded order continuous operators 2

Let E and F be two Archimedean Riesz spaces. An operator T: E→ F is said to be unbounded order continuous (uo-continuous), if uα→ uo0 in E implies Tuα→ uo0 in F.
Gürkök, Hüma, TURAN, BAHRİ
core   +1 more source

Probing Electrocatalyst Design for Product Selectivity in CO2 Reduction

Advanced Science, EarlyView.
Selective CO2 electroreduction is controlled by catalyst structure, dynamic surface reconstruction, adsorbate interactions, and reaction microenvironment. This review summarizes Cu‐ and non‐Cu‐based catalysts, single‐atom and molecular systems, degradation pathways, and operando/computational strategies for steering CO2RR toward hydrocarbons ...
Suvodeep Sen, Bapan Biswas, Apinya Ngoipala, Julia Wiktor, Ujjwal Pal, Shalini Singh   +5 more
wiley   +1 more source

PARALLEL SUM OF UNBOUNDED POSITIVE OPERATORS

For invertible bounded positive operators a, b the operator a : b = (a^〈-1〉+b^〈-1〉)^〈-1〉 is known as the parallel sum.
幸崎, 秀樹, Kosaki, Hideki, コウサキ, ヒデキ   +2 more
core   +1 more source

Engineering a 660 nm‐Responsive Optogenetic Inducer of Pyroptosis for Precision Cancer Therapy

Advanced Science, EarlyView.
This study reports a bioorthogonal pyroptosis inducer, PyroRACS. By using a red‐light‐responsive Cre‐On genetic switch to control the expression of highly cytotoxic GSDMDNT, PyroRACS enables the artificial induction of pyroptosis with precise spatiotemporal control.
Mengkai Zhang, Zhichao Li, Yonghao Ma, Yangyang Sun, Wei Chen, Weiren Huang   +5 more
wiley   +1 more source

Unbounded Holomorphic Functional Calculus and Abstract Cauchy Problems for Operators with Polynomially Bounded Resolvents

Journal of Functional Analysis, 1993
A linear unbounded operator \(B\) on a Banach space \(X\) whose spectrum is contained in an open set \(V\) is said to be of \(\alpha\)-type \(V\) if \((w- B)^{-1}\) exists for \(w\not\in V\) and is \(O((1+ | w|)^ \alpha)\) for some \(\alpha\geq -1\). For such operators the author defines a functional calculus \(f\mapsto f(B)\) defined for holomorphic ...
openaire   +2 more sources