1st Edition

Fourier Series in Several Variables with Applications to Partial Differential Equations

By Victor Shapiro Copyright 2011
352 Pages
by Chapman & Hall

352 Pages
by Chapman & Hall

352 Pages
by Chapman & Hall

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... Read more

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.

Biography

Victor L. Shapiro is a Distinguished Professor Emeritus in the Department of Mathematics at the University of California, Riverside, where he has taught for 46 years. He earned his Ph.D. from the University of Chicago and completed postdoctoral work at the Institute for Advanced Study, where he was an NSF fellow.