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 , , Kuo , Mawhin-WardWillem , Rabinowitz .
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 .
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 .