Katrina Morgan, Temple University
Abstract: Energy estimates are a powerful tool in PDEs, and have a long history in the study of solutions to the wave equation. This talk will focus on local and weighted energy decay estimates and their connection to another useful analytic tool: the resolvent. In particular, we will discuss recent work establishing wave decay for variable speed wave equations. This work is joint with J. Shapiro, M. Yang, and G. Jayasinghe. The talk is intended to be accessible to graduate students.
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