Partial differential equations and spectral theory

✍ Scribed by Li Chen, Michael Dreher (auth.), Michael Demuth, Bert-Wolfgang Schulze, Ingo Witt (eds.)

• Publisher: Birkhäuser Basel
• Year: 2011
• Tongue: English
• Leaves: 355
• Series: Operator Theory: Advances and Applications 211
• Edition: 1
• Category: Library

✦ Synopsis

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

✦ Table of Contents

Front Matter....Pages i-x
Quantum Semiconductor Models....Pages 1-72
Large Coupling Convergence: Overview and New Results....Pages 73-117
Smooth Spectral Calculus....Pages 119-182
Spectral Analysis and Geometry of Sub-Laplacian and Related Grushin-type Operators....Pages 183-290
Zeta Functions of Elliptic Cone Operators....Pages 291-320
Pseudodifferential Operators on Manifolds: A Coordinate-free Approach....Pages 321-341
Back Matter....Pages 342-342

✦ Subjects

Partial Differential Equations