03086oam 2200625I 450 991078144940332120230725053808.00-429-10755-21-4398-5428-910.1201/b10811(CKB)2550000000064839(EBL)800958(OCoLC)769189662(SSID)ssj0000516759(PQKBManifestationID)11343044(PQKBTitleCode)TC0000516759(PQKBWorkID)10478336(PQKB)10468534(MiAaPQ)EBC800958(Au-PeEL)EBL800958(CaPaEBR)ebr10511335(CaONFJC)MIL692619(EXLCZ)99255000000006483920180331d2011 uy 0engur|n|---|||||txtccrFourier series in several variables with applications to partial differential equations /Victor L. ShapiroBoca Raton, Fla. :CRC Press,2011.1 online resource (351 p.)Chapman & Hall/CRC applied mathematics and nonlinear science seriesA Chapman & Hall book.1-322-61337-0 1-4398-5427-0 Includes bibliographical references (p. 331-334).Front 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; BibliographyFourier 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, aChapman & Hall/CRC applied mathematics and nonlinear science series.Fourier seriesFunctions of several real variablesDifferential equations, PartialFourier series.Functions of several real variables.Differential equations, Partial.515/.2433Shapiro Victor L(Victor Lenard),1924,1493534MiAaPQMiAaPQMiAaPQBOOK9910781449403321Fourier series in several variables with applications to partial differential equations3716545UNINA