This thesis provides an introduction to decay rates for the damped wave equation on compact manifolds. It also gives a proof of a sharp decay rate for solutions to the damped wave equation on the torus with damping of a particular polynomial form. Finally it gives a proof of a decay rate when the damping is invariant in one direction and satisfies a derivative bound condition.

Creator

• Kleinhenz, Peter Barone

DOI

• https://doi.org/10.21985/n2-j9mp-f970

Subject

• Mathematics

Language

• en

Alternate Identifier

• etdadmin_upload_764401
• http://dissertations.umi.com/northwestern:15267

Date created

• 2020-01-01

Resource type

• Dissertation

Rights statement

• In Copyright