Results 31 to 40 of about 11,826,715 (309)

Fundamental solution of the model equation of anomalous diffusion of fractional order

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
Fundamental solution of the model equation of anomalous diffusion with Riemann-Liouville operator is constructed. Using the properties of the integral transformation with Wright function in kernel, we give estimates for the fundamental solution. When the
Fatima G Khushtova
doaj   +1 more source

Absolute continuity for SPDEs with irregular fundamental solution

, 2014
For the class of stochastic partial differential equations studied in [Conus-Dalang,2008], we prove the existence of density of the probability law of the solution at a given point $(t,x)$, and that the density belongs to some Besov space.
Sanz-Solé, Marta, Süß, André
core   +1 more source

Static and free vibration analysis of thin plates of the curved edges by the Boundary Element Method considering an alternative formulation of boundary conditions

Engineering Transactions, 2016
A static and dynamic analysis of Kirchhoff plates is presented in this paper. The proposed approach avoids Kirchhoff forces at the plate corners and equivalent shear forces at a plate boundary. Two unknown variables are considered at the boundary element
Michał Jan GUMINIAK
doaj   +1 more source

Fourier and Gegenbauer expansions for a fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry

, 2012
Due to the isotropy $d$-dimensional hyperbolic space, there exist a spherically symmetric fundamental solution for its corresponding Laplace-Beltrami operator.
Abramowitz M, Andrews G E, Beltrami E, Bers L, Byrd P F, Cohl H S, Cohl H S, Cohl H S, E G Kalnins, Erdélyi A, Erdélyi A, Fano U, Folland G B, Fox L, Gilbarg D, Gradshteyn I S, Grigor’yan A A, Grigor’yan A A, Grigor’yan A A, H S Cohl, Helgason S, Izmest’ev A A, Kalnins E G, Lee J M, Livio M, Losev A G, Magnus W, Morse P M, Olevskii˘ M N, Olver F W J, Olver F W J, Schoen R, Thurston W P, Trudeau R J, Vilenkin N Ja   +34 more
core   +2 more sources

Asymptotic Behavior for a Nonlocal Diffusion Equation in Domains with Holes [PDF]

, 2011
The paper deals with the asymptotic behavior of solutions to a non-local diffusion equation, $u_t=J*u-u:=Lu$, in an exterior domain, $\Omega$, which excludes one or several holes, and with zero Dirichlet data on $\mathbb{R}^N\setminus\Omega$.
Cortazar, C., Elgueta, M., Quiros, F., Wolanski, N.   +3 more
core   +2 more sources

Asymptotic behaviors of fundamental solution and its derivatives to fractional diffusion-wave equations

, 2016
Let p(t;x) be the fundamental solution to the problem @ t u = ( ) u; 2 (0; 2); 2 (0;1): If ; 2 (0; 1), then the kernel p(t;x) becomes the transition density of a L evy process delayed by an inverse subordinator.
KyeongRo Kim, Sungbin Lim
semanticscholar   +1 more source

A Quality Improvement Initiative to Standardize Pneumocystis jirovecii Pneumonia Prophylaxis in Pediatric Patients With Solid Tumors

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Pediatric patients with extracranial solid tumors (ST) receiving chemotherapy are at an increased risk for Pneumocystis jirovecii pneumonia (PJP). However, evidence guiding prophylaxis practices in this population is limited. A PJP‐related fatality at our institution highlighted inconsistent prescribing approaches and concerns about
Kriti Kumar, Denise M. Connolly, Ellen Kellington, Elyse Zelunka, Karla Kerrigan, Furqan Shaikh, Paul C. Nathan, Meredith S. Irwin, Sarah Cohen‐Gogo   +8 more
wiley   +1 more source

On Solvability in the Class of Distributions of Degenerate Integro-Differential Equations in Banach Spaces

Известия Иркутского государственного университета: Серия "Математика", 2020
The paper considers a new approach to constructing generalized solutions of degenerate integro-differential equations convolution type in Banach spaces.
M.V. Falaleev
doaj   +1 more source

Regularization of the Ill-Posed Cauchy Problem for Matrix Factorizations of the Helmholtz Equation on the Plane

Axioms, 2021
In this paper, we present an explicit formula for the approximate solution of the Cauchy problem for the matrix factorizations of the Helmholtz equation in a bounded domain on the plane.
Davron Aslonqulovich Juraev, Samad Noeiaghdam   +1 more
doaj   +1 more source

Sickle Cell Disease Is an Inherent Risk for Asthma in a Sibling Comparison Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Sickle cell disease (SCD) and asthma share a complex relationship. Although estimates vary, asthma prevalence in children with SCD is believed to be comparable to or higher than the general population. Determining whether SCD confers an increased risk for asthma remains challenging due to overlapping symptoms and the ...
Suhei C. Zuleta De Bernardis, Okeleji Olayinka, Mariam Z. Quraishi, Lakshmi V. Srivaths, Deborah L. Brown, Neethu M. Menon, Ricardo A. Mosquera, Ashwin P. Patel, James M. Stark, Aravind Yadav   +9 more
wiley   +1 more source