Results 51 to 60 of about 2,925,666 (285)
Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Retinoblastoma (RB) is the most common pediatric ocular cancer, yet population‐based data on survival and risk factors remain limited. This study aimed to describe survival in a large national RB cohort and identify predictors of death and complications.
Samuel Sassine +14 more
wiley +1 more source
External Ellipsoidal Harmonics for the Dunkl-Laplacian
Symmetry, Integrability and Geometry: Methods and Applications, 2008 The paper introduces external ellipsoidal and external sphero-conal $h$-harmonics for the Dunkl-Laplacian. These external $h$-harmonics admit integral representations, and they are connected by a formula of Niven's type.
Hans Volkmer
doaj +1 more source
Green’s Function of the Linearized Logarithmic Keller–Segel–Fisher/KPP System
Mathematical and Computational Applications, 2018 We consider a Keller–Segel type chemotaxis model with logarithmic sensitivity and logistic growth. The logarithmic singularity in the system is removed via the inverse Hopf–Cole transformation.
Jean Rugamba, Yanni Zeng
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Cauchy problem for inhomogeneous parabolic Shilov equations
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, we consider the Cauchy problem for parabolic Shilov equations with continuous bounded coefficients. In these equations, the inhomogeneities are continuous exponentially decreasing functions, which have a certain degree of smoothness by the
I.M. Dovzhytska
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Fundamental Solutions for Periodic Media [PDF]
Advances in Mathematical Physics, 2014 Necessity for the periodic fundamental solutions arises when the periodic boundary value problems should be analyzed. The latter are naturally related to problems of finding the homogenized properties of the dispersed composites, porous media, and media with uniformly distributed microcracks or dislocations.
openaire +3 more sources
Green functions of the damped wave equation and applications [PDF]
, 2019 This work presents some results on the Green Functions of the Damped Wave Equation. We exhibit its fundamental solution and we study it. This fundamental solution allows us to obtain the solution of the initial value problem when the initial conditions ...
Nualart Batalla, Marc
core
Pediatric Blood &Cancer, EarlyView.ABSTRACT Objective To evaluate selumetinib exposure using therapeutic drug monitoring (TDM) in pediatric patients with neurofibromatosis type 1 (NF1) and plexiform neurofibromas (PN), assess interpatient pharmacokinetic variability, and explore the relationship between drug exposure, clinical response, and adverse effects.
Janka Kovács +8 more
wiley +1 more source
Distributed order fractional constitutive stress-strain relation in wave propagation modeling
, 2018 Distributed order fractional model of viscoelastic body is used in order to describe wave propagation in infinite media. Existence and uniqueness of fundamental solution to the generalized Cauchy problem, corresponding to fractional wave equation, is ...
Konjik, Sanja +2 more
core +2 more sources
Behavior of positive radial solutions of a quasilinear equation with a weighted Laplacian
Electronic Journal of Differential Equations, 2001 We obtain a classification result for positive radially symmetric solutions of the semilinear equation $$ -mathop{m div}(ilde a(|x|)abla u)=ilde b(|x|)|u|^{delta-1}u, $$ on a punctured ball.
Marta Garcia-Huidobro
doaj
An Algorithm for Computing Fundamental Solutions
SIAM Journal on Computing, 2005 AbstractFor a partial differential operator P=∑|α|⩽mcαDα with constant coefficients cα, a generalized function u is a fundamental solution, if Pu=δ, where δ is the Dirac distribution. In this article we provide an algorithm which computes a fundamental solution for every such differential operator P on a Turing machine, if the input- and output-data ...
Klaus Weihrauch, Ning Zhong 0002
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