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Microlocal Analysis of Damped Waves on Noncompact Manifolds

Description:

In this thesis, we discuss classical and recent results around the damped wave equation on compact and noncompact manifolds. We firstly show that on asymptotically cylindrical and conic manifolds, the geometric control condition and the network control condition give exponential and logarithmic decay rates respectively. We then show that a...

Keyword:

noncompact manifolds, Carleman estimates, sharp energy decay, and damped waves

Subject:

Mathematics

Creator:

Wang, Ruoyu P. T.

Owner:

Scholarly Digital Publishing

Language:

en

Date Uploaded:

05/31/2023

Date Created:

2023-01-01

Resource Type:

Dissertation

Alternate Identifier:

etdadmin_upload_986144 and http://dissertations.umi.com/northwestern:16577