![](/images/graphics-bg.png)
The Inverse Problem for a General Class of Multidimensional Hyperbolic Equations
Joint Authors
Aldashev, Serik A.
Aldashev, Gani
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-11
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Inverse problems for hyperbolic equations are found in geophysical prospecting and seismology, and their multidimensional analogues are especially important for applied work.
However, whereas results have been established for the some narrow classes of hyperbolic equations, no results exist for more general classes.
This paper proves the solvability of the inverse problem for a general class of multidimensional hyperbolic equations.
Our approach consists of properly choosing the shape of the overidentifying condition that is needed to determine the right-hand side of the hyperbolic PDE and then applying the Fourier series method.
We are then able to establish the results of the existence of solution for the cases when the unknown right-hand side is time- independent or space independent.
American Psychological Association (APA)
Aldashev, Gani& Aldashev, Serik A.. 2011. The Inverse Problem for a General Class of Multidimensional Hyperbolic Equations. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-1002054
Modern Language Association (MLA)
Aldashev, Gani& Aldashev, Serik A.. The Inverse Problem for a General Class of Multidimensional Hyperbolic Equations. Mathematical Problems in Engineering No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-1002054
American Medical Association (AMA)
Aldashev, Gani& Aldashev, Serik A.. The Inverse Problem for a General Class of Multidimensional Hyperbolic Equations. Mathematical Problems in Engineering. 2011. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-1002054
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1002054