AN INVESTIGATION OF NON-TRAPPING, ASYMPTOTICALLY EUCLIDEAN WAVE EQUATIONS Public Deposited
- Last Modified
- March 19, 2019
- Creator
-
Booth, Robert
- Affiliation: College of Arts and Sciences, Department of Mathematics
- Abstract
- In this dissertation, we demonstrate almost global existence for a class of variable coefficient, non-trapping, asymptotically Euclidean, quasilinear wave equations with small initial data. A novel feature is that the wave operator may be a large perturbation of the usual D'Alembertian operator. The key step is developing a local energy estimate for an appropriately linearized version of our wave equation. The linearized wave operator is a combination of a stationary, non-trapping, asymptotically Euclidean wave operator and a small time-dependent perturbation. The time-dependent perturbation need not be asymptotically Euclidean.
- Date of publication
- August 2018
- Keyword
- DOI
- Resource type
- Rights statement
- In Copyright
- Advisor
- Marzuola, Jeremy
- Christianson, Hans
- Canzani, Yaiza
- Metcalfe, Jason
- Taylor, Michael
- Degree
- Doctor of Philosophy
- Degree granting institution
- University of North Carolina at Chapel Hill Graduate School
- Graduation year
- 2018
- Language
- Parents:
This work has no parents.
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Booth_unc_0153D_18080.pdf | 2019-04-10 | Public |
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