Periodic Elliptic Partial Differential Operators: The Main Structures (Hardcover) (ISBN-13: 9781009282420)

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.

Author: Peter Kuchment
ISBN-10: 1009282425
ISBN-13: 9781009282420
Publisher: Cambridge University Press
Language: English
Published: 08/27/2026
Pages: 250
Format: Hardcover