Results 21 to 30 of about 617,396 (323)

Cauchy–Dirichlet Problem to Semilinear Multi-Term Fractional Differential Equations

Fractal and Fractional, 2023
In this paper, we analyze the well-posedness of the Cauchy–Dirichlet problem to an integro-differential equation on a multidimensional domain Ω⊂Rn in the unknown u=u(x,t), Dtν0(ϱ0u)−Dtν1(ϱ1u)−L1u−∫0tK(t−s)L2u(x,s)ds=f(x,t)+g(u ...
Nataliya Vasylyeva
doaj   +1 more source

A priori estimates for the Hill and Dirac operators

, 2007
Consider the Hill operator $Ty=-y''+q'(t)y$ in $L^2(\R)$, where $q\in L^2(0,1)$ is a 1-periodic real potential. The spectrum of $T$ is is absolutely continuous and consists of bands separated by gaps $\g_n,n\ge 1$ with length $|\g_n|\ge 0$.
A. M. Savchuk, B. Levitan, B. Ya. Levin, E. Korotyaev, E. Korotyaev, E. Korotyaev, E. Korotyaev, E. Korotyaev, E. Korotyaev, E. Korotyaev, E. Korotyaev, E. Korotyaev, E. Korotyaev, H. Flaschka, J. Garnett, M. A. Lavrent’ev, M. I. Neĭman-zade, M. Krein, P. Kargaev, P. Kargaev, R. Johnson, T. Kappeler, V. A. Marchenko, V. A. Marchenko   +23 more
core   +1 more source

Probabilistic square functions and a priori estimates [PDF]

Transactions of the American Mathematical Society, 1985
We obtain a priori estimates for Riesz transforms and their variants, that is, estimates with bounds independent of the dimension of the space and/or the nature of the boundary. The key to our results is to give probabilistic definitions which do not depend on the geometry of the situation for the transformations in question.
openaire   +2 more sources

Class IIa HDACs forced degradation allows resensitization of oxaliplatin‐resistant FBXW7‐mutated colorectal cancer

Molecular Oncology, EarlyView.
HDAC4 is degraded by the E3 ligase FBXW7. In colorectal cancer, FBXW7 mutations prevent HDAC4 degradation, leading to oxaliplatin resistance. Forced degradation of HDAC4 using a PROTAC compound restores drug sensitivity by resetting the super‐enhancer landscape, reprogramming the epigenetic state of FBXW7‐mutated cells to resemble oxaliplatin ...
Vanessa Tolotto, Nicolò Gualandi, Ylenia Cortolezzis, Raffaella Picco, Monica Colitti, Francesca D'Este, Mariachiara Gani, Wayne W. Hancock, Giovanni Terrosu, Cristina Degrassi, Francesca Agostini, Claudio Brancolini, Luigi E. Xodo, Eros Di Giorgio   +13 more
wiley   +1 more source

“A priori” shapley data value estimation

Pattern Analysis and Applications
Abstract Distributed machine learning approaches are required when training data cannot be collected in a central location, due to storage, transmission or privacy/security constraints. An important task in any distributed machine learning context, and Federated Learning is no exception, is data value estimation or credit allocation, where ...
Navia Vázquez, Ángel, Cid Sueiro, Jesús, Vázquez López, Manuel Alberto   +2 more
openaire   +2 more sources

Predicting and Comparing the Subjective Health Experience of Older Cancer Survivors and Non‐Cancer Survivors: A Modeling Approach

Aging and Cancer, EarlyView.
This study underscores the significant influence of frailty and vitality on the subjective health experience of older cancer survivors with acceptance and control emerging as salient mediators. These findings affirm the conceptual and empirical robustness of the model highlighting its potential utility in shaping future interventions for older cancer ...
Damien S. E. Broekharst, Sjaak Bloem, Eline J. Mertens, Nathascha Hanzen, Michel van Agthoven   +4 more
wiley   +1 more source

Homogenization of some degenerate pseudoparabolic variational inequalities

, 2018
Multiscale analysis of a degenerate pseudoparabolic variational inequality, modelling the two-phase flow with dynamical capillary pressure in a perforated domain, is the main topic of this work.
Ptashnyk, Mariya
core   +1 more source

Lesion Location and Functional Connections Reveal Cognitive Impairment Networks in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Cognitive impairment, fatigue, and depression are common in multiple sclerosis (MS), potentially due to disruption of regional functional connectivity caused by white matter (WM) lesions. We explored whether WM lesions functionally connected to specific brain regions contribute to these MS‐related manifestations.
Alessandro Franceschini, Paolo Preziosa, Paola Valsasina, Damiano Mistri, Monica Margoni, Federica Esposito, Massimo Filippi, Maria A. Rocca   +7 more
wiley   +1 more source

Existence of positive solutions of elliptic equations with Hardy term

Electronic Journal of Qualitative Theory of Differential Equations
This paper is devoted to studying the existence of positive solutions of the problem: \begin{equation} \begin{cases}\label{0.1}\tag{$\ast$} -\Delta u=\frac{u^{p}}{|x|^{a}}+h(x,u,\nabla u), & \mbox{in} \ \Omega,\\ u=0, & \mbox{on}\ \partial\Omega,\\ \end{
Huimin Yan, Junhui Xie
doaj   +1 more source

Proportionality of components, Liouville theorems and a priori estimates for noncooperative elliptic systems

, 2013
We study qualitative properties of positive solutions of noncooperative, possibly nonvariational, elliptic systems. We obtain new classification and Liouville type theorems in the whole Euclidean space, as well as in half-spaces, and deduce a priori ...
Montaru, Alexandre, Sirakov, Boyan, Souplet, Philippe   +2 more
core   +3 more sources