This volume collects six articles on selected topics at the
frontier between partial differential equations and spectral
theory, written by leading specialists in their respective field.
The articles focus on topics that are in the center of attention of
current research, with original contributions from the authors.
They are written in a clear expository style that makes them
accessible to a broader audience. The articles contain a detailed
introduction and discuss recent progress, provide additional
motivation, and develop the necessary tools. Moreover, the authors
share their views on future developments, hypotheses, and unsolved
problems.
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