**Graduate Studies in Mathematics**

Volume: 120;
2011;
293 pp;
Hardcover

MSC: Primary 35;

Print ISBN: 978-0-8218-5255-2

Product Code: GSM/120

List Price: $67.00

Individual Member Price: $53.60

**Electronic ISBN: 978-1-4704-1181-7
Product Code: GSM/120.E**

List Price: $67.00

Individual Member Price: $53.60

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#### Supplemental Materials

# A Basic Course in Partial Differential Equations

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*Qing Han*

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.

#### Readership

Advanced undergraduate and graduate students interested in PDEs.

#### Reviews & Endorsements

The book is very well-written, 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

#### Table of Contents

# Table of Contents

## A Basic Course in Partial Differential Equations

- Cover Cover11 free
- Title page iii4 free
- Contents vii8 free
- Preface ix10 free
- Introduction 112 free
- First-order differential equations 920 free
- An overview of second-order PDEs 4758
- Laplace equations 89100
- Heat equations 147158
- Wave equations 201212
- First-order differential systems 249260
- Epilogue 279290
- Bibliography 289300
- Index 291302 free
- Back Cover Back Cover1305