Fourier analysis and partial differential equations

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Fourier analysis and partial differential equations / Rafael José Iorio, Jr., Valéria de Magalhães Iorio

資料種別:

図書

出版情報:

Cambridge : Cambridge University Press, 2001

形態:

xi, 411 p. ; 24 cm

シリーズ名:

Cambridge studies in advanced mathematics ; 70 <BA00109761>

著者名:

ISBN:

9780521621168 [052162116X]

書誌ID:

BA5125923X

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references (p. 401-408) and index

主題:

Differential equations, Partial; Fourier analysis

言語:

英語

目次情報:

Fourier Series and Periodic Distributions / Part I：

Preliminaries / 1：

Fourier series: basic theory / 2：

Periodic distributions and Sobolev spaces / 3：

Applications to Partial Differential Equations / Part II：

Linear equations / 4：

Nonlinear evolution equations / 5：

The Korteweg-de Vries / 6：

Distributions, Fourier transforms and linear equations / Part III：

KdV, BO and friends / 8：

Tools from the theory of ODEs / Appendix A：

Commutator estimates / Appendix B：

Bibliography

Index

Fourier Series and Periodic Distributions / Part I：

Preliminaries / 1：

Fourier series: basic theory / 2：

Periodic distributions and Sobolev spaces / 3：

Applications to Partial Differential Equations / Part II：

Linear equations / 4：

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