Hardcover ISBN:  9780821852552 
Product Code:  GSM/120 
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eBook ISBN:  9781470411817 
Product Code:  GSM/120.E 
List Price:  $85.00 
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AMS Member Price:  $68.00 
Hardcover ISBN:  9780821852552 
eBook: ISBN:  9781470411817 
Product Code:  GSM/120.B 
List Price:  $184.00 $141.50 
MAA Member Price:  $165.60 $127.35 
AMS Member Price:  $147.20 $113.20 
Hardcover ISBN:  9780821852552 
Product Code:  GSM/120 
List Price:  $99.00 
MAA Member Price:  $89.10 
AMS Member Price:  $79.20 
eBook ISBN:  9781470411817 
Product Code:  GSM/120.E 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
Hardcover ISBN:  9780821852552 
eBook ISBN:  9781470411817 
Product Code:  GSM/120.B 
List Price:  $184.00 $141.50 
MAA Member Price:  $165.60 $127.35 
AMS Member Price:  $147.20 $113.20 

Book DetailsGraduate Studies in MathematicsVolume: 120; 2011; 293 ppMSC: Primary 35
This is a textbook for an introductory graduate course on partial differential equations. Han focuses on linear equations of first and second order. An important feature of his treatment is that the majority of the techniques are applicable more generally. In particular, Han emphasizes a priori estimates throughout the text, even for those equations that can be solved explicitly. Such estimates are indispensable tools for proving the existence and uniqueness of solutions to PDEs, being especially important for nonlinear equations. The estimates are also crucial to establishing properties of the solutions, such as the continuous dependence on parameters.
Han's book is suitable for students interested in the mathematical theory of partial differential equations, either as an overview of the subject or as an introduction leading to further study.
ReadershipAdvanced undergraduate and graduate students interested in PDEs.

Table of Contents

Chapters

Chapter 1. Introduction

Chapter 2. Firstorder differential equations

Chapter 3. An overview of secondorder PDEs

Chapter 4. Laplace equations

Chapter 5. Heat equations

Chapter 6. Wave equations

Chapter 7. Firstorder differential systems

Chapter 8. Epilogue


Additional Material

Reviews

The book is very wellwritten, the proofs are given in full detail, and each chapter ends with a list of exercises. Note that the author puts emphasis on the main ideas and methods rather than on various generalizations.
Mathematical Reviews


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This is a textbook for an introductory graduate course on partial differential equations. Han focuses on linear equations of first and second order. An important feature of his treatment is that the majority of the techniques are applicable more generally. In particular, Han emphasizes a priori estimates throughout the text, even for those equations that can be solved explicitly. Such estimates are indispensable tools for proving the existence and uniqueness of solutions to PDEs, being especially important for nonlinear equations. The estimates are also crucial to establishing properties of the solutions, such as the continuous dependence on parameters.
Han's book is suitable for students interested in the mathematical theory of partial differential equations, either as an overview of the subject or as an introduction leading to further study.
Advanced undergraduate and graduate students interested in PDEs.

Chapters

Chapter 1. Introduction

Chapter 2. Firstorder differential equations

Chapter 3. An overview of secondorder PDEs

Chapter 4. Laplace equations

Chapter 5. Heat equations

Chapter 6. Wave equations

Chapter 7. Firstorder differential systems

Chapter 8. Epilogue

The book is very wellwritten, the proofs are given in full detail, and each chapter ends with a list of exercises. Note that the author puts emphasis on the main ideas and methods rather than on various generalizations.
Mathematical Reviews