Periodic Elliptic Partial Differential Operators by Kuchment Peter
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.-
A Primer of Nonlinear Analysis
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Complex Topological K-Theory
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Mathematical Aspects of Quantum Field Theory
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An Introduction to Nonlinear Analysis
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Enumerative Combinatorics: Volume 1
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Introduction to Homotopy Type Theory
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Hodge Theory and Complex Algebraic Geometry I: Volume 1
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Random Graphs
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Basic Category Theory
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Enumerative Combinatorics: Volume 2
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Algebraic Number Theory
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Spectral Theory and Differential Operators
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An Introduction to the Theory of the Riemann Zeta-Function
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Hardy Spaces
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Gaussian Processes on Trees
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Multidimensional Real Analysis I
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Higher Index Theory
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A Course in Finite Group Representation Theory
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Optimal Control and Geometry: Integrable Systems
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The Theory of Fusion Systems
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Derived Categories
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Uniform Central Limit Theorems
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Random Fragmentation and Coagulation Processes
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Levy Processes and Stochastic Calculus
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Holomorphic Dynamics
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An Introduction to Invariants and Moduli
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Quasiconformal Surgery in Holomorphic Dynamics
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Martingales in Banach Spaces
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Tolerance Graphs
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An Outline of Ergodic Theory
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Spectra of Discrete Structures
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Analytic Combinatorics in Several Variables
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Fourier Analysis and Partial Differential Equations
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Riemannian Geometry
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Representations of the Infinite Symmetric Group
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Soliton Equations and their Algebro-Geometric Solutions: Volume 1, (1+1)-Dimensional Continuous Models
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Local Cohomology
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Multiplicative Number Theory I
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Analysis in Integer and Fractional Dimensions
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Extremal Graph and Hypergraph Theory
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The Bellman Function Technique in Harmonic Analysis
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Explicit Brauer Induction
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Random Walk: A Modern Introduction
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Clifford Algebras and the Classical Groups
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Wavelets
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The Logarithmic Integral: Volume 2
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).
| SKU | Unavailable |
| ISBN 13 | 9781009282420 |
| Title | Periodic Elliptic Partial Differential Operators |
| Author | Peter Kuchment |
| Series | Cambridge Studies In Advanced Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2026-09-30 |
| Number of pages | 250 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |