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100   $a20180331d2011      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aFourier series in several variables with applications to partial differential equations /$fVictor L. Shapiro
210  1$aBoca Raton, Fla. :$cCRC Press,$d2011.
215   $a1 online resource (351 p.)
225 1 $aChapman & Hall/CRC applied mathematics and nonlinear science series
300   $aA Chapman & Hall book.
311   $a1-322-61337-0 
311   $a1-4398-5427-0 
320   $aIncludes bibliographical references (p. 331-334).
327   $aFront Cover; Dedication; Contents; Preface; Chapter 1: Summability of Multiple Fourier Series; Chapter 2: Conjugate Multiple Fourier Series; Chapter 3: Uniqueness of Multiple Trigonometric Series; Chapter 4: Positive Definite Functions; Chapter 5: Nonlinear Partial Differential Equations; Chapter 6: The Stationary Navier-Stokes Equations; Appendix A: Integrals and Identities; Appendix B: Real Analysis; Appendix C: Harmonic and Subharmonic Functions; Bibliography
330   $aFourier Series in Several Variables with Applications to Partial Differential Equations illustrates the value of Fourier series methods in solving difficult nonlinear partial differential equations (PDEs). Using these methods, the author presents results for stationary Navier-Stokes equations, nonlinear reaction-diffusion systems, and quasilinear elliptic PDEs and resonance theory. He also establishes the connection between multiple Fourier series and number theory. The book first presents four summability methods used in studying multiple Fourier series: iterated Fejer, Bochner-Riesz, Abel, a
410  0$aChapman & Hall/CRC applied mathematics and nonlinear science series.
606   $aFourier series
606   $aFunctions of several real variables
606   $aDifferential equations, Partial
615  0$aFourier series.
615  0$aFunctions of several real variables.
615  0$aDifferential equations, Partial.
676   $a515/.2433
700   $aShapiro$b Victor L$g(Victor Lenard),$f1924,$01493534
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910781449403321
996   $aFourier series in several variables with applications to partial differential equations$93716545
997   $aUNINA