{
"item_title" : "Fourier Series in Several Variables with Applications to Partial Differential Equations",
"item_author" : [" Victor Shapiro "],
"item_description" : "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 Cα-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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Fourier Series in Several Variables with Applications to Partial Differential Equations
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Overview
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 Cα-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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Details
- ISBN-13: 9780367382926
- ISBN-10: 036738292X
- Publisher: CRC Press
- Publish Date: October 2019
- Dimensions: 9.9 x 6.9 x 0.8 inches
- Shipping Weight: 1.35 pounds
- Page Count: 352
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