Year: 2026
Type: dissertation
Abstract: We present a proof of an L¹ to L∞ estimate for radial solutions to the inhomogeneous wave equation in three spatial dimensions. Similar estimates trace back to the work of Hörmander and Klainerman, and later, Keel, Smith, and Sogge. The novelty in our estimate is in the method of proof, which arrives at the L¹ to L∞ bound using the integrated local energy estimates of Metcalfe and Rhoads, along with spacetime Klainerman-Sobolev decay estimates of Metcalfe, Tataru, and Tohaneanu.
DOI: 10.17615/sqwc-6766
Author: Adamson, Elliot
Institution: University of North Carolina at Chapel Hill
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7162764518
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