Results 11 to 20 of about 268,935 (316)

On a boundary property of analytic functions [PDF]

open access: yesJournal of Inequalities and Applications, 2017
Let f be an analytic function in the unit disc | z | < 1 $|z|
Mamoru Nunokawa, Janusz Sokół
doaj   +4 more sources

A smoothing technique for discrete delta functions with application to immersed boundary method in moving boundary simulations

open access: yesJournal of Computational Physics, 2009
The effects of complex boundary conditions on flows are represented by a volume force in the immersed boundary methods. The problem with this representation is that the volume force exhibits non-physical oscillations in moving boundary simulations.
Xiaolei Yang, Xing Zhang
exaly   +2 more sources

Asymptotic estimations of the solution for a singularly perturbed equation with unbounded boundary conditions

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
The paper studies a two-point boundary value problem with unbounded boundary conditions for a linear singularly perturbed differential equation. Asymptotic estimates are given for a linearly independent system of solutions of a homogeneous perturbed ...
N. Atakhan   +2 more
doaj   +1 more source

Wigner functions with boundaries [PDF]

open access: yesJournal of Mathematical Physics, 2002
We consider the general Wigner function for a particle confined to a finite interval and subject to Dirichlet boundary conditions. We derive the boundary corrections to the “stargenvalue” equation and to the time evolution equation. These corrections can be cast in the form of a boundary potential contributing to the total Hamiltonian which together ...
Dias, Nuno Costa, Prata, João Nuno
openaire   +2 more sources

Asymptotic Convergence of the Solution of a Singularly Perturbed Integro-Differential Boundary Value Problem

open access: yesMathematics, 2020
In this study, the asymptotic behavior of the solutions to a boundary value problem for a third-order linear integro-differential equation with a small parameter at the two higher derivatives has been examined, under the condition that the roots of the ...
Assiya Zhumanazarova, Young Im Cho
doaj   +1 more source

Generalized Vector-Valued Hardy Functions

open access: yesAxioms, 2022
We consider analytic functions in tubes Rn+iB⊂Cn with values in Banach space or Hilbert space. The base of the tube B will be a proper open connected subset of Rn, an open connected cone in Rn, an open convex cone in Rn, and a regular cone in Rn, with ...
Richard D. Carmichael
doaj   +1 more source

On One Exceptional Case of the First Basic Three-Element Carleman-Type Boundary Value Problem for Bianalytic Functions in a Circle [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020
This article considers a non-degenerate (nonreducible to two-element) three-element problem of Carleman type for bianalytic functions in an exceptional case, that is, when one of the coefficients of the boundary condition vanishes at a finite number of ...
Perelman , Natalia Romanovna
doaj   +1 more source

Asymptotic convergence of the solution for singularly perturbed boundary value problem with boundary jumps

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
The article is devoted to study of boundary value problem with boundary jumps for third order linear integro-differential equation with a small parameter at the highest derivatives, provided that additional characteristic equation’s roots have opposite ...
A.E. Mirzakulova   +3 more
doaj   +1 more source

The functional bootstrap for boundary CFT [PDF]

open access: yesJournal of High Energy Physics, 2020
Abstract We introduce a new approach to the study of the crossing equation for CFTs in the presence of a boundary. We argue that there is a basis for this equation related to the generalized free field solution. The dual basis is a set of linear functionals which act on the crossing equation to give a set of sum rules on the ...
Kaviraj, Apratim   +1 more
openaire   +3 more sources

DG-GMsFEM for Problems in Perforated Domains with Non-Homogeneous Boundary Conditions

open access: yesComputation, 2021
Problems in perforated media are complex and require high resolution grid construction to capture complex irregular perforation boundaries leading to the large discrete system of equations. In this paper, we develop a multiscale model reduction technique
Valentin Alekseev   +3 more
doaj   +1 more source

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