Page 1 |
Previous | 1 of 94 | Next |
small (250x250 max)
medium (500x500 max)
large ( > 500x500)
Full Resolution
All (PDF)
|
This page
All
Subset |
Object Description
| Author | Hanson-Hart, Zachary Aaron |
| Title | A Cauchy Problem with Singularity Along the Initial Hypersurface |
| Year Degree Awarded | 2011 |
| Department | Mathematics |
| Degree | Ph.D. |
| Abstract | We solve a one-sided Cauchy problem with zero right hand side modulo smooth errors for the wave operator associated to a smooth symmetric 2-tensor which is Lorentz on the interior and degenerate at the boundary. The degeneracy of the metric at the boundary gives rise to singularities in the wave operator. The initial data prescribed at the boundary must be modified from the classical Cauchy problem to suit the problem at hand. The problem is posed on the interior and the local solution is constructed using microlocal analysis and the techniques of Fourier Integral Operators. |
| Advisor | Mendoza, Gerardo A. |
| Committee Members |
Berhanu, Shiferaw Gutierrez, Cristian E. |
| Degree Granting Institution | Temple University |
| Subject | Mathematics |
| Keywords |
Cauchy problem Fourier Integral Operators hyperbolic Lorentz |
| Publisher | Temple University Libraries |
| Type | Dissertation |
| Format | Application/PDF |
| Number of Pages | 94 |
| Rights | The author has granted Temple University a limited, non-exclusive, royalty-free license to reproduce his or her dissertation, in whole or in part, in electronic or paper form and to make it available to the general public at no charge. This permission is granted in addition to rights granted to ProQuest. The author retains all other rights. |
| Description | Temple University--Theses |
| Digital Collection | Temple University Electronic Theses and Dissertations |
| Contact | etd-library@listserv.temple.edu |
| File Size | 433 KB |