Fourier Series in Several Variables with Applications to Partial Differential Equations (1)
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- Synopsis
- 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.
- Copyright:
- 2011
Book Details
- Book Quality:
- Publisher Quality
- Book Size:
- 352 Pages
- ISBN-13:
- 9781040197943
- Related ISBNs:
- 9780367382926, 9781439854273, 9780429107559, 9781439854280
- Publisher:
- CRC Press
- Date of Addition:
- 01/30/25
- Copyrighted By:
- Taylor & Francis Group, LLC
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.