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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.
Contributors:
W. Bauer
H. BelHadjAli
A. Ben Amor
M. Ben-Artzi
J.F. Brasche
L. Chen
M. Dreher
K. Furutani
C. Iwasaki
P. McKeag
G.A. Mendoza
Y. Safarov
From the reviews:
“This present volume contains six expository articles in the area of partial differential equations and spectral theory. ... All articles are written by leading experts and give an overview of current developments to a broader audience. ... the volume should also be accessible to doctoral students in this area.” (G. Teschl, Monatshefte für Mathematik, Vol. 164 (4), December, 2011)
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