Fourier analysis and partial differential equations / Rafael José Iorio, Jr., Valéria de Magalhães Iorio.
This book was first published in 2001. It provides an introduction to Fourier analysis and partial differential equations and is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area o...
| Uniform Title: | Cambridge studies in advanced mathematics ;
70. |
|---|---|
| Main Authors: | |
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2001.
|
| Series: | Cambridge studies in advanced mathematics ;
70. |
| Subjects: | |
| Online Access: | |
| Physical Description: | 1 online resource (xi, 411 pages) : digital, PDF file(s). |
| Variant Title: |
Fourier Analysis & Partial Differential Equations. |
| Format: | Electronic eBook |
MARC
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| 100 | 1 | |a Iorio Jr., Rafael José |q (Iorio Júnior), |e author. |0 http://id.loc.gov/authorities/names/n87916920 | |
| 245 | 1 | 0 | |a Fourier analysis and partial differential equations / |c Rafael José Iorio, Jr., Valéria de Magalhães Iorio. |
| 246 | 3 | |a Fourier Analysis & Partial Differential Equations. | |
| 264 | 1 | |a Cambridge : |b Cambridge University Press, |c 2001. | |
| 300 | |a 1 online resource (xi, 411 pages) : |b digital, PDF file(s). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics ; |v 70 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | |a This book was first published in 2001. It provides an introduction to Fourier analysis and partial differential equations and is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area of nonlinear evolution equations. The first part of the book consists of some very classical material, followed by a discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear equations in the setting provided by periodic distributions. They assume only some familiarity with Banach and Hilbert spaces and the elementary properties of bounded linear operators. After presenting a fairly complete discussion of local and global well-posedness for the nonlinear Schrödinger and the Korteweg-de Vries equations, they turn their attention, in the two final chapters, to the non-periodic setting, concentrating on problems that do not occur in the periodic case. | ||
| 650 | 0 | |a Fourier analysis. |0 http://id.loc.gov/authorities/subjects/sh85051088 | |
| 650 | 0 | |a Differential equations, Partial. |0 http://id.loc.gov/authorities/subjects/sh85037912 | |
| 700 | 1 | |a Iorio, Valéria de Magalhães, |e author. |0 http://id.loc.gov/authorities/names/n00011135 | |
| 776 | 0 | 8 | |i Print version: |a Iorio Jr., Rafael José (Iorio Júnior) |t Fourier analysis and partial differential equations |z 9780521621168. |
| 830 | 0 | |a Cambridge studies in advanced mathematics ; |v 70. |0 http://id.loc.gov/authorities/names/n84708314 | |
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