Results 51 to 60 of about 11,044,020 (324)

On weak solutions of semilinear hyperbolic-parabolic equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
In this paper we prove the existence and uniqueness of weak solutions of the mixed problem for the nonlinear hyperbolic-parabolic equation (K1(x,t)u′)′+K2(x,t)u′+A(t)u+F(u)=f with null Dirichlet boundary conditions and zero initial data, where F(s) is a
Jorge Ferreira
doaj   +1 more source

On viscosity and weak solutions for non-homogeneous p-Laplace equations [PDF]

open access: yes, 2016
In this manuscript, we study the relation between viscosity and weak solutions for non-homogeneous p-Laplace equations with lower-order term depending on x, u and ∇ ⁡ u {\nabla u} .
María Medina, Pablo Ochoa
semanticscholar   +1 more source

Imaging of High‐Risk Neuroblastoma: Recommendations From SIOPEN Radiology and Nuclear Medicine Specialty Committees

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Neuroblastoma is the most common extracranial solid tumor in early childhood. Its clinical behavior is highly variable, ranging from spontaneous regression to fatal outcome despite intensive treatment. The International Society of Pediatric Oncology Europe Neuroblastoma Group (SIOPEN) Radiology and Nuclear Medicine Specialty Committees ...
Annemieke Littooij   +11 more
wiley   +1 more source

Criterion‐Related Validity of the Neuropsychological Quick Assessment for Screening Cognitive, Motor, and Behavioral Impairments in Patients With Pediatric Brain Tumors: An Observational Pilot Study

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Neuropsychological complications may impair the qualitative prognosis of patients with pediatric brain tumors. However, multifaceted evaluations cannot be conducted in all patients because they are time consuming and burdensome for patients.
Ami Tabata   +9 more
wiley   +1 more source

The regularity of weak solutions for certain n-dimensional strongly coupled parabolic systems

open access: yesAdvanced Nonlinear Studies, 2022
This paper is concerned with the n-dimensional strongly coupled parabolic systems with triangular form in the cylinder Ω×(0,T]\Omega \times (0,T]. We investigate L2{L}^{2} and Hölder regularity of the derivatives of weak solutions (u1,u2)\left({u}_{1},{u}
Tan Qi-Jian
doaj   +1 more source

Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field [PDF]

open access: yes, 2016
In this paper, we study the Cauchy problem for the Landau Hamiltonian wave equation, with time-dependent irregular (distributional) electromagnetic field and similarly irregular velocity.
Michael Ruzhansky, N. Tokmagambetov
semanticscholar   +1 more source

Cognitive Functioning in Vorinostat‐Treated Pediatric and Young Adult Patients Over the First 180 Days After Hematopoietic Stem Cell Transplant

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Purpose Cognitive and psychological difficulties could negatively interfere with treatment adherence and quality of life before and after hematopoietic stem cell transplant (HSCT). Methods to mitigate these changes may have positive effects on treatment success.
Kristen L. Votruba   +11 more
wiley   +1 more source

Adjunctive Therapeutic Plasma Exchange in Refractory Adult‐Onset Still's Disease Complicated by Secondary Macrophage Activation Syndrome: A Single‐Center Experience

open access: yesTherapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Adult‐onset Still's disease (AOSD) complicated by macrophage activation syndrome (MAS) carries substantial mortality. The role of therapeutic plasma exchange (TPE) remains uncertain. Methods We retrospectively analyzed patients with AOSD‐MAS treated with TPE at a single‐center.
Masataka Ueda   +15 more
wiley   +1 more source

On global weak solutions of the Vlasov-Poisson equations with external magnetic field

open access: yesСовременная математика: Фундаментальные направления, 2023
We consider the first mixed problem for the system of Vlasov-Poisson equations with a given external magnetic field in a bounded domain. This problem describes the kinetics of high-temperature plasma in controlled thermonuclear fusion plants and is ...
Yu. O. Belyaeva, A. L. Skubachevskii
doaj   +1 more source

Young Measures Generated by Ideal Incompressible Fluid Flows

open access: yes, 2012
In their seminal paper "Oscillations and concentrations in weak solutions of the incompressible fluid equations", R. DiPerna and A. Majda introduced the notion of measure-valued solution for the incompressible Euler equations in order to capture complex ...
A. Shnirelman   +21 more
core   +1 more source

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