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Date Available
4-29-2026
Year of Publication
2026
Document Type
Doctoral Dissertation
Degree Name
Doctor of Philosophy (PhD)
College
Arts and Sciences
Department/School/Program
Mathematics
Faculty
Mihai Tohaneanu
Faculty
Bert Guillou
Abstract
This work establishes integrated local energy decay (ILED) estimates for the damped wave equation on certain non-stationary spacetimes. The main technical result is a high frequency estimate that holds in great generality, provided that null geodesics trapped in a compact region are sufficiently damped. This is combined with low- and medium-frequency estimates to establish full local energy decay. We conclude by providing a counterexample where the damping assumption fails and local energy decay does not hold.
Digital Object Identifier (DOI)
https://doi.org/10.13023/etd.2026.154
Archival?
Archival
Recommended Citation
Arsenault, Nicholas DJ, "Local Energy Decay for Non-stationary Damped Wave Operators" (2026). Theses and Dissertations--Mathematics. 131.
https://uknowledge.uky.edu/math_etds/131
