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...

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Detalles Bibliográficos
Autor principal: Shapiro, Victor L
Lenguaje:eng
Publicado: CRC Press 2011
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/1486282
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author Shapiro, Victor L
author_facet Shapiro, Victor L
author_sort Shapiro, Victor L
collection CERN
description 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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institution Organización Europea para la Investigación Nuclear
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publishDate 2011
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spelling cern-14862822021-04-22T00:18:22Zhttp://cds.cern.ch/record/1486282engShapiro, Victor LFourier Series in Several Variables with Applications to Partial Differential EquationsMathematical Physics and Mathematics 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, aCRC Pressoai:cds.cern.ch:14862822011
spellingShingle Mathematical Physics and Mathematics
Shapiro, Victor L
Fourier Series in Several Variables with Applications to Partial Differential Equations
title Fourier Series in Several Variables with Applications to Partial Differential Equations
title_full Fourier Series in Several Variables with Applications to Partial Differential Equations
title_fullStr Fourier Series in Several Variables with Applications to Partial Differential Equations
title_full_unstemmed Fourier Series in Several Variables with Applications to Partial Differential Equations
title_short Fourier Series in Several Variables with Applications to Partial Differential Equations
title_sort fourier series in several variables with applications to partial differential equations
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1486282
work_keys_str_mv AT shapirovictorl fourierseriesinseveralvariableswithapplicationstopartialdifferentialequations

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