Solutions to Dirichlet Problem and Neumann Problem
No Thumbnail Available
Date
2011-01
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Addis Ababa University
Abstract
The complete set of this project focuses on solvability of the Dirichlet problem of the
type
_
Δ_ = u=f __ Ω
_ = u _Ω
and the Neumann problem of the type
_
Δ_ = u __ Ω
__
__ = ℎ __ _Ω
.
The explicit solutions of the problem in particular when _ = 0, in elliptic linear operator
specifically in Laplace’s operator and also discuss the integral representation for the solution of
the Dirichlet problem for harmonic functions in upper half space and in a ball in the whole
of ℝ_.
Keywords Ball, Dirichlet problem, half space, harmonic functions, integral representation,
Neumann problem
Description
Keywords
Dirichlet problem, half space, harmonic functions, integral representation, Neumann problem