Results 41 to 50 of about 1,831,672 (338)

Global well-posedness of the short-pulse and sine-Gordon equations in energy space

, 2010
We prove global well-posedness of the short-pulse equation with small initial data in Sobolev space $H^2$. Our analysis relies on local well-posedness results of Sch\"afer & Wayne, the correspondence of the short-pulse equation to the sine-Gordon ...
Ablowitz M.J., Anton Sakovich, Dmitry Pelinovsky, Grafakos L., Sakovich A., Zeidler E.   +5 more
core   +1 more source

The Singular Set of Higher Dimensional Unstable Obstacle Type Problems

, 2012
In this paper we will investigate the singular points of the following unstable free boundary problem: {equation}\label{Eq} \Delta u= -\chi_{\{u>0\}} \quad\quad\textrm{in} B_1(0) {equation} where $\chi_{\{u>0\}}$ is the characteristic function of the set
Andersson, John, Shahgholian, Henrik, Weiss, Georg   +2 more
core   +1 more source

Psychosocial Outcomes in Patients With Endocrine Tumor Syndromes: A Systematic Review

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction The combination of disease manifestations, the familial burden, and varying penetrance of endocrine tumor syndromes (ETSs) is unique. This review aimed to portray and summarize available data on psychosocial outcomes in patients with ETSs and explore gaps and opportunities for future research and care.
Daniël Zwerus, Floortje Strobbe, Annemarie A. Verrijn Stuart, Hanneke M. van Santen, Gerlof D. Valk, Sasja A. Schepers, Rachel S. van Leeuwaarde   +6 more
wiley   +1 more source

Infinite–Dimensional Bifurcations in Spatially Distributed Delay Logistic Equation

Mathematics, 2022
This paper investigates the questions about the local dynamics in the neighborhood of the equilibrium state for the spatially distributed delay logistic equation with diffusion. The critical cases in the stability problem are singled out.
Sergey Kashchenko
doaj   +1 more source

A Codazzi-like equation and the singular set for $C^{1}$ smooth surfaces in the Heisenberg group

, 2010
In this paper, we study the structure of the singular set for a $C^{1}$ smooth surface in the $3$-dimensional Heisenberg group $\boldsymbol{H}_{1}$.
Andrea Malchiodi, Capogna L., Cheng J.-H., Jenn-Fang Hwang, Jih-Hsin Cheng, Leonardi G., Paul Yang   +6 more
core   +1 more source

Nutritional and Behavioral Intervention for Long‐Term Childhood Acute Leukemia Survivors With Metabolic Syndrome

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Purpose Metabolic syndrome (MetS) is a common complication in survivors of childhood acute lymphoblastic and myeloid leukemia (AL), and a major risk factor for premature cardiovascular disease, type‐2‐diabetes, and metabolic dysfunction‐associated steatotic liver disease (MASLD).
Visentin Sandrine, Béliard Sophie, Renard Cécile, Caussy Cyrielle, Hamidou Zeinab, Romano David, Gacem Mélanie, Petit Arnaud, Saultier Paul, Borentain Patrick, Michel Gérard   +10 more
wiley   +1 more source

Survival for Children Diagnosed With Wilms Tumour (2012–2022) Registered in the UK and Ireland Improving Population Outcomes for Renal Tumours of Childhood (IMPORT) Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background The Improving Population Outcomes for Renal Tumours of childhood (IMPORT) is a prospective clinical observational study capturing detailed demographic and outcome data on children and young people diagnosed with renal tumours in the United Kingdom and the Republic of Ireland.
Naomi Ssenyonga, Angela Lopez‐Cortes, Reem Al‐Saadi, Suzanne Tugnait, Kristina Dzhuma, Catriona Duncan, Gordan Vujanic, Tanzina Chowdhury, Claudia Allemani, Michel P. Coleman, Kathy Pritchard‐Jones, the Children's Cancer and Leukaemia Group (CCLG) Renal Tumour Special Interest Group, Hugh Bishop, Anthony McCarthy, Pamela Kearns, Helen Rees, Amos Burke, Meriel Jenney, Jane Pears, Hamish Wallace, Milind Ronghe, Tanzina Chowdhury, Susan Picton, Emma Ross, Lisa Howell, Bernadette Brennan, Gail Halliday, Richard Grundy, Shaun Wilson, Sucheta Vaidya, Daniel Yeomanson, Jessica Bate, Vesna Pavasovic, Jessica Bate, Sabine Irtan, Jesper Brok, Minou Oostveen, Kristina Dzhuma, Mark Weeks, Richard Williams, Mark Powis, Max Pachl, Bruce Okoye, Naima Smeulders, Gordan Vujanic, Oystein Olsen, Tom Watson, Susan Shelmerdine, Dan Saunders, Angela Lopez-Cortes, Taryn Treger, Tom Jackson, Suzanne Tugnait, Lisa Howell, Tanzina Chowdhury, Sam Behjati, Angela Polanco   +56 more
wiley   +1 more source

Stereotactic Body Radiation Therapy for Pediatric, Adolescent, and Young Adult Patients With Osteosarcoma: Local Control Outcomes With Dosimetric Analysis

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background/Objectives Osteosarcoma is a radioresistant tumor that may benefit from stereotactic body radiation therapy (SBRT) for locoregional control in metastatic/recurrent disease. We report institutional practice patterns, outcomes, toxicity, and failures in osteosarcoma patients treated with SBRT.
Jenna Kocsis, Shauna R. Campbell, Jonathan Jang, Eashwar Somasundaram, Chandana A. Reddy, Jacob G. Scott, Lilyana Angelov, Peter M. Anderson, Matteo Trucco, Zachary Burke, Lukas Nystrom, Nathan Mesko, Anthony Magnelli, Erin S. Murphy   +13 more
wiley   +1 more source

Note on stability conditions for structured population dynamics models

Electronic Journal of Qualitative Theory of Differential Equations, 2016
We consider a characteristic equation to analyze asymptotic stability of a scalar renewal equation, motivated by structured population dynamics models.
Yukihiko Nakata
doaj   +1 more source

Statistical-mechanical theory of the overall magnetic properties of mesocrystals

, 2004
The mesocrystal showing both electrorheological and magnetorheological effects is called electro-magnetorheological (EMR) solids. Prediction of the overall magnetic properties of the EMR solids is a challenging task due to the coexistence of the ...
C. J. F. Böttcher, D. J. Bergman, D. J. Klingenberg, G. Bossis, G. W. Milton, G. W. Milton, H. Fröhlich, J. M. Ginder, J. P. Huang, L. D. Landau, P. P. Ewald, V. I. Kordonsky   +11 more
core   +1 more source