# Neumann boundary condition

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## Neumann boundary condition

[′nȯi‚män ′bau̇n·drē kən‚dish·ən]
(mathematics)
The boundary condition imposed on the Neumann problem in potential theory.
References in periodicals archive ?
One then solves Neumann problems on all subdomains in parallel,
Various kinds of Neumann problems for (1) can also be considered [2, 3].
He focuses on equations of diffusion processes and wave motion, and on Dirichlet and Neumann problems.
As mentioned in Section 2, the Neumann problems is uniquely solvable but up to a constant; hence, we have to impose a reference potential so that the uniqueness can be guaranteed.
Certain resonant Neumann problems, were studied by Iannacci-Nkashama [13], [14], Kuo [15], Mawhin-WardWillem [19], Rabinowitz [23].
z]]f] = 0 which represents the bi-polyanalytic functions, is investigated in the upper half plane and different forms of boundary conditions leading to the well-known Schwarz, Dirichlet and Neumann problems in complex analysis are solved in the upper half plane in [19].
The 16 papers develop a method for calculating the upper bound of orthogonal projections in a Hilbert space, a Mosco stability theorem for the generalized proximal mapping, and three nontrivial solutions for p-Laplacian Neumann problems.
Recall the Dirichlet and Neumann problems for the Laplacian.
The programs treat both the Dirichlet and Neumann problems, for both interior and exterior regions, for such regions [Omega].
Fourier series, integrals, and transforms are followed by their rigorous application to wave and diffusion equations as well as to Dirichlet and Neumann problems.
He covers first-order equations, linear second-order equations, elements of Fourier analysis, the wave equation, the heat equation, Dirichlet and Neumann problems, existence theorems, and a selection of the aforesaid advanced topics.
The consequence of the singular local Neumann problems that arise was addressed in [9].
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