eBook - PDF
Fourier Series in Several Variables with Applications to Partial Differential Equations
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- 352 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Fourier Series in Several Variables with Applications to Partial Differential Equations
Book details
Table of contents
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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 & Mathematics General. We have over one million books available in our catalogue for you to explore.
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Table of contents
- Front Cover
- Dedication
- Contents
- Preface
- 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: Integrals and Identities
- Appendix B: Real Analysis
- Appendix C: Harmonic and Subharmonic Functions
- Bibliography