图书信息

傅立叶分析和偏微分方程

定　价：￥78.00库　存：有货，可送至部分区域出 版 社：世界图书出版公司

出版时间：2003-9-1

I S B N：9787506265560

内容简介

This book is the outcome of several courses and seminar talks held at the Instituto de Matematica Pura e Aplicada (IMPA) over the .It is a greatly modified version of a previous work by the authors,Equacoes Diferenciais Parciais, Uma lntroducao, (Projeto Euclides, IMPA,1978). It has a twofold purpose, namely to introduce the student to the basic concepts of Fourier analysis and provide illustrations of recent applications where these concepts were used to study various properties of the solutions of some important nonlinear evolution equations.

目录

Preface

Part One: Fourier Series and Periodic Distributions

1 Preliminaries

1.1 Basic Definitions and Examples

1.2 Classification into Types

1.3 Boundary and/or Initial Value Problems

1.4 Separation of Variables: Heat Flow in a Bar

1.5 The Schrodinger and the Wave Equations

1.6 The Dirichlet Problem in the Unit Circle

1.7 Maximum Principles and Uniqueness

2 Fourier Series: Basic Theory

2.1 Spaces of Periodic Functions and Sequences

2.2 The Fourier Transform

2.3 Geometric Interpretation

2.4 Decay and Differentiability