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arXiv · 2012.14448

On pointwise decay of waves

Wilhelm Schlag
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Abstract

This article serves as an introduction to the linear aspects of the recent submission by Krieger, Miao, and the author, see arXiv:2009.08843. It also surveys some of the results obtained on the decay of linear waves on various backgrounds or in the presence of a potential over the past 15 years. Particular emphasis is placed on the role of 0 energy. The techniques are based on spectral and scattering theory. Note that this is not a systematic review, as this would require a book.

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Wilhelm Schlag. 2021-06-18. On pointwise decay of waves. https://doi.org/10.1063/5.0042767

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