Results 31 to 40 of about 6,942,026 (258)

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

Social Functioning Within the First Years After Pediatric Brain Tumor Diagnosis and the Relationship With Family Psychosocial Risk

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Survivors of pediatric brain tumors (PBTs) can experience long‐term social difficulties, impacting quality of life. Beyond medical and environmental factors, family psychosocial risk may play a role in social outcomes by shaping the caregiving environment and may provide intervention options.
Renske H. Houben, Marisa H. Huisman, Martha A. Grootenhuis, Femke K. Aarsen, Marita Partanen   +4 more
wiley   +1 more source

On the behavior of solutions of a doubly nonlinear degenerate parabolic system with nonlinear sources and absorptions with variable densities

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper, the problem of a doubly nonlinear degenerate parabolic system with nonlinear sources and absorption terms not located in a homogeneous medium was considered. It obeys zero Dirichlet boundary conditions in a smooth bounded domain.
M.M. Aripov, O.X. Atabaev, A.M. AL-Marashi   +2 more
doaj   +1 more source

Pediatric Idiopathic Multicentric Castleman Disease Is Often Severe But Responsive to Siltuximab

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Idiopathic multicentric Castleman disease (iMCD) is a potentially fatal immunologic disorder marked by widespread lymphadenopathy and inflammation. Siltuximab, an interleukin‐6 (IL‐6) inhibitor, is the only FDA‐approved treatment for adult patients with iMCD.
Bridget Austin, Sheila K. Pierson, Kelley C. Dacus, Mateo Sarmiento Bustamante, Saishravan Shyamsundar, Larissa Borys, Kayla McHugh, Abiola Irvine, Yoojin Jo, Adam Bagg, Mary Jo Lechowicz, Daisy Alapat, Amy Chadburn, Megan S. Lim, Gordan Srkalovic, Frits van Rhee, David C. Fajgenbaum, Joshua D. Brandstadter   +17 more
wiley   +1 more source

Global existence of the two-dimensional axisymmetric Euler equations for the Chaplygin gas with large angular velocities

Advanced Nonlinear Studies, 2022
The Chaplygin gas model is both interesting and important in the theory of gas dynamics and conservation laws, all the characteristic families of which are linearly degenerate. Majda conjectured that the shock formation never happens for smooth data.
Wei Dongyi, Zhang Zhifei, Zhao Wenbin
doaj   +1 more source

The Impact of the COVID‐19 Pandemic on Childhood Cancer Survival: A Population‐Based Assessment of Survival Patterns Between 2015 and 2023 in Germany

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Numerous international studies have reported declines in new cancer diagnoses, delayed diagnoses and disruptions in cancer treatment following the implementation of COVID‐19 pandemic public health measures, raising concerns that these effects may ultimately contribute to increased cancer mortality.
Friederike Erdmann, Maike Wellbrock, Javier Louro, Arndt Borkhardt, Martin Schrappe, Claudia Trübenbach, Desiree Grabow, Cécile M. Ronckers, Joachim Schüz   +8 more
wiley   +1 more source

Global Existence of the Higher-Dimensional Linear System of Thermoviscoelasticity [PDF]

, 2011
We obtain a global existence result for the higher-dimensional thermoviscoelastic equations. Using semigroup approach, we will establish the global existence of homogeneous, nonhomogeneous, linear, semilinear, and nonlinear, thermoviscoelastic ...
Zhiyong Ma
core   +1 more source

Referral Patterns and Diagnostic Timeliness in Pediatric Cancer: A Hospital‐Based Study in Indonesia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Timely diagnosis and treatment are critical for improving survival among children with cancer. In low‐ and middle‐income countries (LMICs), delays are common and may be influenced by fragmented referral pathways and diagnostic limitations.
Nur Melani Sari, Regina Hadi Putri, Fatimah Assyifa, Judith Spijkerman, Gertjan Johannes Kaspers, Susi Susanah   +5 more
wiley   +1 more source

The critical case for a semilinear weakly hyperbolic equation

Electronic Journal of Differential Equations, 2004
We prove a global existence result for the Cauchy problem, in the three-dimensional space, associated with the equation $$ u_{tt}-a_lambda(t) Delta_x u=-u|u|^{p(lambda)-1} $$ where $a_lambda(t)ge 0$ and behaves as $(t-t_0)^lambda$ close to some $t_0 ...
Luca Fanelli, Sandra Lucente
doaj  

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