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Fourier Series in Several Variables with Applications to Partial Differential Equations

By Victor Shapiro

Fourier Series in Several Variables with Applications to Partial Differential Equations Mathematics

Fourier Series in Several Variables with Applications to Partial Differential Equations

0 - Default Title
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 C¿-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.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
354
Release Date:
2019-10-23
Publication Date:
2019-10-23
Publisher:
Chapman and Hall/CRC
Languages:
Original: English
ISBN10:
036738292X
ISBN13:
9780367382926
Weight:
666 g
Height:
178 cm
Width:
254 cm
Thickness:
19 cm
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