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Fourier Series in Several Variables with Applications to Partial Differential Equations
Engelsk
Bogcover for Fourier Series in Several Variables with Applications to Partial Differential Equations af Victor Shapiro, 9780367382926
Specifikationer
Sprog:
Engelsk
Sider:
352
ISBN-13:
9780367382926
Indbinding:
Paperback
ISBN-10:
036738292X
Udg. Dato:
23 okt 2019
Størrelse i cm:
25,4 x 17,8
Oplagsdato:
23 okt 2019
Forfatter(e):

Fourier Series in Several Variables with Applications to Partial Differential Equations

Engelsk
Paperback 2019
Format:

Bog beskrivelse

Fourier Series in Several Variables with Applications to Partial Differential Equations illustrates the value of Fourier series methods in solving difficult nonlinear partial differential equations (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.





The book first presents four summability methods used in studying multiple Fourier series: iterated Fejer, Bochner-Riesz, Abel, and Gauss-Weierstrass. It then covers conjugate multiple Fourier series, the analogue of Cantor’s uniqueness theorem in two dimensions, surface spherical harmonics, and Schoenberg’s theorem. After describing five theorems on periodic solutions of nonlinear PDEs, the text concludes with solutions of stationary Navier-Stokes equations.





Discussing many results and studies from the literature, this book demonstrates the robust power of Fourier analysis in solving seemingly impenetrable nonlinear problems.

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Specifikationer
Sprog:
Engelsk
Sider:
352
ISBN-13:
9780367382926
Indbinding:
Paperback
ISBN-10:
036738292X
Udg. Dato:
23 okt 2019
Størrelse i cm:
25,4 x 17,8
Oplagsdato:
23 okt 2019
Forfatter(e):
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