Fourier Series in Several Variables with Applications to Partial Differential Equations

Name: Fourier Series in Several Variables with Applications to Partial Differential Equations
Author: Victor Shapiro
ISBN: 9780429107559

doi:10.1201/b10811

Book

Fourier Series in Several Variables with Applications to Partial Differential Equations

ABSTRACT

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 e

TABLE OF CONTENTS

Summability of Multiple Fourier Series. Conjugate Multiple Fourier Series. Uniqueness of Multiple Trigonometric Series. Positive Definite Functions. Nonlinear Partial Differential Equations. The Stationary Navier-Stokes Equations. Appendices. Bibliography. Index.