eBook - ePub
Fourier Series in Several Variables with Applications to Partial Differential Equations
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eBook - ePub
Fourier Series in Several Variables with Applications to Partial Differential Equations
About this book
Discussing many results and studies from the literature, this work illustrates the value of Fourier series methods in solving difficult nonlinear PDEs. Using these methods, the author presents results for stationary Navier-Stokes equations, nonlinear reaction-diffusion systems, and quasilinear elliptic PDEs and resonance theory. He also establishes the connection between multiple Fourier series and number theory, presents the periodic Ca-theory of Calderon and Zygmund, and explores the extension of Fatou's famous work on antiderivatives and nontangential limits to higher dimensions. The importance of surface spherical harmonic functions is emphasized throughout.
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Yes, you can access Fourier Series in Several Variables with Applications to Partial Differential Equations by Victor Shapiro in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover Page
- Halftitle Page
- CHAPMAN & HALL/CRC APPLIED MATHEMATICS AND NONLINEAR SCIENCE SERIES Series Editor Goong Chen
- Title Page
- Copyright Page
- Dedication Page
- Preface
- Contents
- CHAPTER 1: Summability of Multiple Fourier Series
- CHAPTER 2: Conjugate Multiple Fourier Series
- CHAPTER 3: Uniqueness of Multiple Trigonometric Series
- CHAPTER 4: Positive Definite Functions
- CHAPTER 5: Nonlinear Partial Differential Equations
- CHAPTER 6: The Stationary Navier-Stokes Equations
- APPENDIX A
- APPENDIX B
- APPENDIX C
- Bibliography