Periodic Elliptic Partial Differential Operators: The Main Structures (Cambridge Studies in Advanced Mathematics, Series Number 224) - Hardcover

Kuchment, Peter

Hardcover

ISBN 10: 1009282425 ISBN 13: 9781009282420

Publisher: Cambridge University Press, 2026

Synopsis

The study of periodic partial differential equations has experienced significant growth in recent decades, driven by emerging applications in fields such as photonic crystals, metamaterials, fluid dynamics, carbon nanostructures, and topological insulators. This book provides a uniquely comprehensive overview for mathematicians, physicists, and material scientists engaged in the analysis and construction of periodic media. It describes all the mathematical objects, tools, problems, and techniques involved. Topics covered are central for areas such as spectral theory of PDEs, homogenization, condensed matter physics and optics. Although it is not a textbook, some basic proofs, background material, and references to an extensive bibliography providing pointers to the wider literature are included to allow graduate students to access the content.

About this title

About the Author

Peter Kuchment is the Arthur George and Mary Emolene Owen Chair and Distinguished Professor at Texas A & M University. His research interests include partial differential equations, mathematical physics, geometric analysis, inverse problems, tomography and medical imaging, material science, and math education. He is the author of the books `Floquet Theory for Partial Differential Operators' (1993), `Introduction to Quantum Graphs' (2013), 'The Radon Transform and Medical Imaging' (2014) and 'Liouville-Riemann-Roch Theorems on Abelian Coverings' (2021).

Edition details

• Publisher: Cambridge University Press
• Publication date: 2026
• Language: English
• ISBN 10: 1009282425
• ISBN 13: 9781009282420
• Binding: Hardcover
• Number of pages: 250