Results 61 to 70 of about 2,426,099 (326)

Sharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potential

Advances in Nonlinear Analysis, 2019
The Cauchy problem of nonlinear Schrödinger equation with a harmonic potential for describing the attractive Bose-Einstein condensate under the magnetic trap is considered. We give some sufficient conditions of global existence and finite time blow up of
Zhang Mingyou, Ahmed Md Salik
doaj   +1 more source

A Systematic Review of Evidence on the Clinical Effectiveness of Surveillance Imaging in Children With Medulloblastoma and Ependymoma

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Surveillance imaging aims to detect tumour relapse before symptoms develop, but it's unclear whether earlier detection of relapse leads to better outcomes in children and young people (CYP) with medulloblastoma and ependymoma. This systematic review aims to identify relevant literature to determine the efficacy of surveillance magnetic ...
Lucy Shepherd, Melissa Taylor, Helen Fulbright, Bob Phillips   +3 more
wiley   +1 more source

A note on the global existence and boundedness of an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction

Open Mathematics
We investigate the two-species chemotaxis predator-prey system given by the following system: ut=Δu−χ∇⋅(u∇w)+u(λ1−μ1ur1−1+av),x∈Ω,t>0,vt=Δv+ξ∇⋅(v∇z)+v(λ2−μ2vr2−1−bu),x∈Ω,t>0,0=Δw−w+v,x∈Ω,t>0,0=Δz−z+u,x∈Ω,t>0,\left\{\begin{array}{ll}{u}_{t}=\Delta u-\chi \
Liu Ling
doaj   +1 more source

Liapunov fundtions and global existence without uniqueness [PDF]

Proceedings of the American Mathematical Society, 1970
In a recent paper J. Kato and A. Strauss character- ized the global existence of solutions of ani ordinary differenitial equation in terms of Liapunov functions in which they assumed the right hand side of the differential equatioln is locally Lipschitz. In the present paper a characterization of global existence of an ordinary differential equation is
openaire   +2 more sources

Patient‐Level Barriers and Facilitators to Inpatient Physical Therapy in Adolescents and Young Adults With a Hematological Malignancy: A Qualitative Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Despite their increased risk for functional impairment resulting from cancer and its treatments, few adolescents and young adults (AYAs) with a hematological malignancy receive the recommended or therapeutic dose of exercise per week during inpatient hospitalizations.
Jennifer A. Kelleher, Jennifer L. Bernstein, Katia M. Crisler, Julia K. Herriott, Kimberly L. Klages, Robin E. Norris, Mariann L. Strenk, Sarah E. Bills, Meghan E. McGrady   +8 more
wiley   +1 more source

The Second Critical Exponent for a Time-Fractional Reaction-Diffusion Equation

Mathematics
In this paper, we consider the Cauchy problem of a time-fractional nonlinear diffusion equation. According to Kaplan’s first eigenvalue method, we first prove the blow-up of the solutions in finite time under some sufficient conditions.
Takefumi Igarashi
doaj   +1 more source

Blow-up of radially symmetric solutions of a non-local problem modelling Ohmic heating

Electronic Journal of Differential Equations, 2002
We consider a non-local initial boundary-value problem for the equation $$ u_t=Delta u+lambda f(u)/Big(int_{Omega}f(u),dxBig)^2 ,quad x in Omega subset mathbb{R}^2 ,,;t>0, $$ where $u$ represents a temperature and $f$ is a positive and decreasing ...
Dimitrios E. Tzanetis
doaj  

A Comparative Study of Cerebral Oxygenation During Exercise in Hemodialysis and Peritoneal Dialysis Patients

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Cognitive impairment and exercise intolerance are common in dialysis patients. Cerebral perfusion and oxygenation play a major role in both cognitive function and exercise execution; HD session per se aggravates cerebral ischemia in this population. This study aimed to compare cerebral oxygenation and perfusion at rest and in mild
Marieta P. Theodorakopoulou, Konstantina Dipla, Danai Faitatzidou, Fotini Iatridi, Areti Georgiou, Artemios Karagiannidis, Erasmia Sampani, Chrysostomos Dimitriadis, Aggelos Koutlas, Andreas Zafeiridis, Pantelis Sarafidis   +10 more
wiley   +1 more source

Results from a Nonlinear Wave Equation with Acoustic and Fractional Boundary Conditions Coupling by Logarithmic Source and Delay Terms: Global Existence and Asymptotic Behavior of Solutions

Mathematics
The nonlinear wave equation with acoustic and fractional boundary conditions, coupled with logarithmic source and delay terms, is significant for its ability to model complex systems, its contribution to the advancement of mathematical theory, and its ...
Abdelbaki Choucha, Salah Boulaaras, Ali Allahem, Asma Alharbi, Rashid Jan   +4 more
doaj   +1 more source

Mapping the evolution of mitochondrial complex I through structural variation

FEBS Letters, EarlyView.
Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin, Tingting Chen, James A. Letts   +2 more
wiley   +1 more source