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Fourier Series in Several Variables with Applications to Partial Differential Equations
Paperback
ISBN13: 9780367382926
Publisher: CRC Press
Published: Oct 23 2019
Pages: 352
Weight: 1.35
Height: 0.80 Width: 6.90 Depth: 9.90
Language: English
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.
1 different editions
Also available
Fourier Series in Several Variables with Applications to Partial Differential Equations
Shapiro, Victor
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Shapiro, Victor
Fourier Series in Several Variables with Applications to Partial Differential Equations
Shapiro, Victor
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