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Harmonic Analysis Methods in Partial Differential Equations
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Language:
English
Published/Copyright:
2025
About this book
This volume applies theories of harmonic analysis to the study of nonlinear partial differential equations. It covers consolidation characterizations of differentiable function spaces, and the theory of three generations of C-Z singular integral operators, Fourier restriction estimation, Strichartz estimation, and Littlewood-Paley theory. It combines harmonic analysis methods with the study of partial differential equations.
- Applies theories of harmonic analysis to the study of nonlinear PDEs using modern methods
- Describes basic analytical tools in detail while systematically outlining frontier topics.
- The self-contained format makes it ideal for self-study.
Author / Editor information
Changxing Miao, Jiqiang Zheng, Inst. of Applied Physics and Computational Mathematics, CN; Bo Zhang, Inst. of Applied Mathematics, CN.
Topics
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Frontmatter
I -
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Preface
V -
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Contents
XI -
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1 Elliptic boundary value problems and harmonic analysis methods for abstract evolution equations
1 -
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2 Parabolic equations
79 -
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3 Navier–Stokes equations
131 -
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4 Schrödinger equations
195 -
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5 Wave equations
310 -
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6 Nonlinear Schrödinger equation with inverse-square potential
424 -
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Bibliography
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Index
459
Publishing information
Pages and Images/Illustrations in book
eBook published on:
June 2, 2025
eBook ISBN:
9783111384726
Hardcover published on:
June 2, 2025
Hardcover ISBN:
9783111384511
Pages and Images/Illustrations in book
Front matter:
12
Main content:
462
Illustrations:
1
Keywords for this book
Harmonic analysis methods; Function spaces; Elliptic equation; Parabolic equations; Dispersive equations
Audience(s) for this book
Institutional libraries, as well as researchers and graduate students studying harmonic analysis in PDEs.
Safety & product resources
- Manufacturer information:
- Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin - productsafety@degruyterbrill.com
