A Class of Nonlinear Schrödinger Equations with Concentrated Nonlinearity
The authors of this interesting paper consider the one-dimensional nonlinear Schrödinger equation with a nonlinearity concentrated in a finite number of points. The Schrödinger equation has the form: \[ i(\partial /\partial t)\psi (t)=-\triangle \psi (t)+\sum_{j=1}^n\alpha _j(t)\delta _{y_j}\psi (t), \quad \psi (0)=\psi _0, \] where \(\delta _{y_j ...
Adami, Riccardo, Teta, Alessandro
openaire +3 more sources
Optimizing photoexcitation conditions for time‐resolved X‐ray solution scattering experiments
Time‐resolved X‐ray solution scattering (TR‐XSS) is a powerful technique to visualize how proteins change their structure in real time after light activation. Selecting the right laser photoexcitation conditions—fluence, excitation geometry, and sample refresh rate—is critical to maximize the experimental signal while avoiding unwanted side effects ...
Matteo Levantino
wiley +1 more source
Nonnegative solutions for a system of impulsive BVPs with nonlinear nonlocal BCs [PDF]
We study the existence of nonnegative solutions for a system of impulsive differential equations subject to nonlinear, nonlocal boundary conditions. The system presents a coupling in the differential equation and in the boundary conditions. The main
Pietramala, Paolamaria, Infante, Gennaro
core +2 more sources
Study on a class of Schrödinger elliptic system involving a nonlinear operator [PDF]
This paper considers a class of Schrödinger elliptic system involving a nonlinear operator. Firstly, under the simple condition on and \u27, we prove the existence of the entire positive bounded radial solutions.
Zhang, Lihong +3 more
core +2 more sources
Long‐Term Follow‐Up of Chemotherapy‐Associated Biological Aging in Women With Early Breast Cancer
Women threated with adjuvant chemotherapy for early breast cancer have sustained long‐term increase in p16INK4a,, a robust marker of cell senescence, suggesting a chemotherapy‐associated age acceleration. p16INK4a as well as other biomarkers may identify patients at greatest risk for senescence‐related diseases of aging.
Hyman B. Muss +12 more
wiley +1 more source
A Nonlinear Model for Topsoil Erosion Caused by Heavy Rain [PDF]
In this paper, a nonlinear mathematical model is proposed and analysed to study the effect of heavy rain on the topsoil erosion and crop-yield. It is shown that as the velocity of rain water along the soil surface increases, the fertile topsoil depth ...
Dubey, B.
core +2 more sources
Digital Cognitive Phenotyping for Differential Diagnosis and Monitoring in Neurological Conditions
ABSTRACT Objective To assess the utility, accessibility, and equivalence to supervised scales of online cognitive assessment in older individuals with cognitive impairment. Methods Patients with Alzheimer's disease (AD, n = 31), idiopathic normal pressure hydrocephalus (iNPH, n = 26), and traumatic brain injury (TBI, n = 23) completed online cognitive ...
Martina Del Giovane +10 more
wiley +1 more source
ABSTRACT Background Factors associated with relapse course and disability in myelin oligodendrocyte glycoprotein antibody‐associated disease (MOGAD) remain incompletely understood. Objectives To identify clinical and modifiable factors associated with relapse and disability in MOGAD. Methods In this ambispective multicentre cohort study using data from
Yingtao Wang +23 more
wiley +1 more source
New unique existence criteria for higher-order nonlinear singular fractional differential equations [PDF]
In this paper, a nonlinear three-point boundary value problem of higher-order singular fractional differential equations is discussed. By applying the properties of Green function and some fixed point theorems for sum-type operator on cone, some new ...
Wang, Xiaoqiang +2 more
core +2 more sources
Unifying attoclock and Larmor measurements through position-resolved weak values
The measurement of tunneling times in strong-field ionization has been the topic of much controversy in recent years, with the attoclock and Larmor clock being two of the main contenders for correctly reproducing these times.
Pablo M. Maier +3 more
doaj +1 more source

