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Record Nr. |
UNINA9910781449403321 |
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Autore |
Shapiro Victor L (Victor Lenard), <1924, > |
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Titolo |
Fourier series in several variables with applications to partial differential equations / / Victor L. Shapiro |
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Pubbl/distr/stampa |
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Boca Raton, Fla. : , : CRC Press, , 2011 |
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ISBN |
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0-429-10755-2 |
1-4398-5428-9 |
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Descrizione fisica |
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1 online resource (351 p.) |
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Collana |
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Chapman & Hall/CRC applied mathematics and nonlinear science series |
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Disciplina |
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Soggetti |
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Fourier series |
Functions of several real variables |
Differential equations, Partial |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di bibliografia |
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Includes bibliographical references (p. 331-334). |
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Nota di contenuto |
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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; Bibliography |
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Sommario/riassunto |
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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 |
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