Results 61 to 70 of about 5,198,351 (376)

Global attractors for p-Laplacian equation

Journal of Mathematical Analysis and Applications, 2007
The existence of a global attractor for the following \(p\)-Laplacian equation: \[ u_t-\text{div}\bigl(|\nabla u|^{p-2}\nabla u\bigr)+f(u)=g \quad\text{in } \Omega\times\mathbb{R}^+,\tag{1} \] with the Dirichlet boundary condition \[ u |_{\partial\Omega}=0\tag{2} \] and initial condition \[ u(x,0)=u_0(x)\tag{3} \] is proved in \(W_0^{1,p}(\Omega)\) and
Yang, Meihua, Sun, Chunyou, Zhong, Chengkui   +2 more
openaire   +2 more sources

Characterizing the salivary RNA landscape to identify potential diagnostic, prognostic, and follow‐up biomarkers for breast cancer

Molecular Oncology, EarlyView.
This study explores salivary RNA for breast cancer (BC) diagnosis, prognosis, and follow‐up. High‐throughput RNA sequencing identified distinct salivary RNA signatures, including novel transcripts, that differentiate BC from healthy controls, characterize histological and molecular subtypes, and indicate lymph node involvement.
Nicholas Rajan, Irina Primac, Emre Etlioglu, Laurens Debruyne, Ann Janssen, Magy Sallam, Kevin Tabury, Roel Quintens, Wiebren Tjalma, Mohammed Abderrafi Benotmane   +9 more
wiley   +1 more source

Global attractor for weakly damped gKdV equations in higher sobolev spaces

, 2015
Long time behavior of solutions for weakly damped gKdV equations on the real line is studied. With some weak regularity assumptions on the force $f$, we prove the existence of global attractor in $H^s$ for any $s\geq 1$.
Ming Wang
semanticscholar   +1 more source

Stability of limit regimes in general reaction-diffusion type systems

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
In this paper, we consider the stability of limit regimes for a general class of nonlinear distributed mathematical models named Reaction-Diffusion models. RD systems naturally arise in many applications.
О. В. Капустян, Т. В. Юсипів   +1 more
doaj   +1 more source

Patient‐specific pharmacogenomics demonstrates xCT as predictive therapeutic target in colon cancer with possible implications in tumor connectivity

Molecular Oncology, EarlyView.
This study integrates transcriptomic profiling of matched tumor and healthy tissues from 32 colorectal cancer patients with functional validation in patient‐derived organoids, revealing dysregulated metabolic programs driven by overexpressed xCT (SLC7A11) and SLC3A2, identifying an oncogenic cystine/glutamate transporter signature linked to ...
Marco Strecker, Keren Zohar, Martin Böttcher, Thomas Wartmann, Henry Freudenstein, Maximilian Doelling, Mihailo Andric, Wenjie Shi, Or Kakhlon, Katrin Hippe, Beatrix Jahnke, Dimitrios Mougiakakos, Franziska Baenke, Daniel Stange, Roland S. Croner, Michal Linial, Ulf D. Kahlert   +16 more
wiley   +1 more source

Design of Sturm global attractors 1: Meanders with three noses, and reversibility [PDF]

, 2023
Bernold Fiedler, Carlos Rocha
openalex   +1 more source

On Global Attractors for a Class of Reaction-Diffusion Equations on Unbounded Domains with Some Strongly Nonlinear Weighted Term

Discrete Dynamics in Nature and Society, 2015
We consider the existence and properties of the global attractor for a class of reaction-diffusion equation ∂u/∂t-Δu-u+κ(x)|u|p-2u+f(u)=0,  in  Rn×R+;  u(x,0)=u0(x),  in  Rn.
Jin Zhang, Chengkui Zhong
doaj   +1 more source

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

Attractors for damped quintic wave equations in bounded domains [PDF]

, 2013
The dissipative wave equation with a critical quintic nonlinearity in smooth bounded three dimensional domain is considered. Based on the recent extension of the Strichartz estimates to the case of bounded domains, the existence of a compact global ...
Kalantarov, Varga, Savostianov, Anton, Zelik, Sergey   +2 more
core  

Sharp estimates for the number of degrees of freedom for the damped-driven 2D Navier--Stokes equations

, 2005
We derive upper bounds for the number of asymptotic degrees (determining modes and nodes) of freedom for the two-dimensional Navier--Stokes system and Navier-Stokes system with damping.
Ilyin, Alexei A., Titi, Edriss S.
core   +1 more source