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Fourier series in several variables with applications to partial differential equations /
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, nonli...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boca Raton, Fla. :
CRC Press,
©2011.
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| Colección: | Chapman & Hall/CRC applied mathematics and nonlinear science series.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Shapiro, Victor L. |q (Victor Lenard), |d 1924-2013. |1 https://id.oclc.org/worldcat/entity/E39PBJpDQJVdxd9bRVGfbhFFrq | |
| 245 | 1 | 0 | |a Fourier series in several variables with applications to partial differential equations / |c Victor L. Shapiro. |
| 260 | |a Boca Raton, Fla. : |b CRC Press, |c ©2011. | ||
| 300 | |a 1 online resource (xiv, 334 pages) | ||
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| 490 | 1 | |a Chapman & Hall/CRC applied mathematics and nonlinear science series | |
| 504 | |a Includes bibliographical references (pages 331-334). | ||
| 505 | 0 | |a 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. | |
| 520 | |a 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, a. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Fourier series. | |
| 650 | 0 | |a Functions of several real variables. | |
| 650 | 0 | |a Differential equations, Partial. | |
| 650 | 6 | |a Séries de Fourier. | |
| 650 | 6 | |a Fonctions de plusieurs variables réelles. | |
| 650 | 6 | |a Équations aux dérivées partielles. | |
| 650 | 7 | |a MATHEMATICS |x Infinity. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Partial |2 fast | |
| 650 | 7 | |a Fourier series |2 fast | |
| 650 | 7 | |a Functions of several real variables |2 fast | |
| 758 | |i has work: |a Fourier series in several variables with applications to partial differential equations (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGkVW6d88wxPWr9J4GKfMP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Shapiro, Victor L. (Victor Lenard), 1924- |t Fourier series in several variables with applications to partial differential equations. |d Boca Raton, Fla. : CRC Press, ©2011 |w (DLC) 2011021531 |
| 830 | 0 | |a Chapman & Hall/CRC applied mathematics and nonlinear science series. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=800958 |z Texto completo |
| 880 | 0 | |6 505-00/(S |a Summability of Multiple Fourier Series; Introduction; Iterated Fejer Summability of Fourier Series; Bochner-Riesz Summability of Fourier Series; Abel Summability of Fourier Series; Gauss-Weierstrass Summability of Fourier Series; Further Results and Comments Conjugate Multiple Fourier Series ; Introduction; Abel Summability of Conjugate Series; Spherical Convergence of Conjugate Series; The Cα -Condition; An Application of the Cα -Condition; An Application of the Lp -Condition; Further Results and Comments Uniqueness of Multiple Trigonometric Series ; Uniqueness for Abel Summability; Uniqueness for Circular Convergence; Uniqueness, Number Theory, and Fractals; Further Results and Comments Positive Definite Functions ; Positive Definite Functions on SN -l ; Positive Definite Functions on TN ; Positive Definite Functions on SN 1-l × TN ; Further Results and Comments Nonlinear Partial Differential Equations ; Reaction-Diffusion Equations on the N-Torus; Quasilinear Ellipticity on the N -Torus; Further Results and Comments The Stationary Navier-Stokes Equations ; Distribution Solutions; Classical Solutions; Further Results and Comments Appendix A: Integrals and Identities; Appendix B: Real Analysis; Appendix C: Harmonic and Subharmonic Functions Bibliography Index. | |
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