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The Dirichlet Problem With Denjoy-Perron Integrable Boundary Condition

Canadian Mathematical Bulletin, 1985
AbstractThe Poisson integral of a Denjoy-Perron integrable function defined on the boundary of an open disc is harmonic in this disc. Moreover, almost everywhere on the boundary, the nontangential limits of the integral coincide with the boundary condition. This extends the classical result for Lebesgue integrable boundary conditions.
Benedicks, M., Pfeffer, W. F.
openaire   +1 more source

Dirichlet Boundary Conditions and Effect of Confinement on Chemical Reactivity

The Journal of Physical Chemistry A, 2009
To understand the source of discrepancy in the qualitative trends in the reactivity of the spherically confined atoms/ions when the high pressure is generated through the use of a proper Dirichlet boundary condition [J. Chem. Sci. 2005, 117, 379; Phys. Chem. Chem. Phys. 2008, 10, 1406] and of a cutoff function [Chem. Phys. Lett. 2003, 372, 805; J. Phys.
U, Sarkar, S, Giri, P K, Chattaraj
openaire   +2 more sources

Dirichlet-to-Neumann boundary conditions for multiple scattering problems

Journal of Computational Physics, 2003
This paper deals with a Dirichlet-to-Neumann condition which is derived for the numerical solution of time-harmonic multiple scattering problems, where the scatterer consists of several disjoints components.
Grote, Marcus J., Kirsch, Christoph
openaire   +3 more sources

Wave equation with Dirichlet boundary conditions

2017
Partial differential equations derived from relationship between different physical and geometric problems where the function depends on two or more independent variables. Hyperbolic equations are a type of partial differential equations. In this paper, we consider the wave equation as a special form of hyperbolic equations.
Kocaleva, Mirjana   +4 more
openaire  

Finite Size Critical Behavior for Dirichlet Boundary Conditions

Zeitschrift f�r Physik B Condensed Matter, 1985
The behavior, near the upper critical dimension d = 4, of finite size properties at bulk criticality for n -vector models is shown to depend qualitatively on the type of boundary condition (bc). Contrary to the more complicated behavior which holds for periodic bc's, there exists an e = 4 − d expansion for Dirichlet (or free) bc's with only ...
openaire   +1 more source

Dirichlet-Neumann Boundary Condition

2004
Massimo Bianchi   +18 more
openaire   +1 more source

Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space

SIAM Journal on Numerical Analysis, 2022
Yangwen Zhang   +2 more
exaly  

The difference dirichlet problem with discontinuous boundary conditions

USSR Computational Mathematics and Mathematical Physics, 1976
openaire   +2 more sources

Solving fractional boundary value problems with Dirichlet boundary conditions using a new iterative method

Computers and Mathematics With Applications, 2010
Varsha Daftardar-Gejji   +1 more
exaly  

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