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The Dirichlet Problem With Denjoy-Perron Integrable Boundary Condition
Canadian Mathematical Bulletin, 1985AbstractThe 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.
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Dirichlet Boundary Conditions and Effect of Confinement on Chemical Reactivity
The Journal of Physical Chemistry A, 2009To 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
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Dirichlet-to-Neumann boundary conditions for multiple scattering problems
Journal of Computational Physics, 2003This 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
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Wave equation with Dirichlet boundary conditions
2017Partial 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
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Finite Size Critical Behavior for Dirichlet Boundary Conditions
Zeitschrift f�r Physik B Condensed Matter, 1985The 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 ...
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Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space
SIAM Journal on Numerical Analysis, 2022Yangwen Zhang +2 more
exaly
The difference dirichlet problem with discontinuous boundary conditions
USSR Computational Mathematics and Mathematical Physics, 1976openaire +2 more sources

