Inverse problems for elliptic partial differential equations
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Date
2015
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The University of Dodoma
Abstract
The study of an inverse problems for elliptic partial differential equations has
been put in place in order to provide a broad understanding to the existence of
inverse problems for elliptic partial differential equations particularly Poisson's
equation. The main objective is to describe diferent approaches to inverse problems
for elliptic partial differential equations and in particular, the factorization
method. Another aim of this work is to study a certain inverse problem for an
elliptic partial differential equation and demonstrate the uniqueness and local existence
of its solution using the derivation of the special integral equation. Inverse
problem for elliptic partial differential equations play very important role in both
theoretical part and applications. After the inversion of powerfully computers,
more have been achieved through inverse problems for elliptic partial differential
equations.
Description
Dissertation (MSc. Mathematics)
Keywords
Differential equations, Equations, Inverse problems, Elliptic differential equations, Partial differential equations, Elliptic equations, Mathematics, Differential equations, Poisson's equation
Citation
Ndidi, D. M. (2015). Inverse problems for elliptic partial differential equations. Dodoma: The University of Dodoma