| 摘要 | 第1-6页 |
| Abstract | 第6-10页 |
| Chapter 1. Preface | 第10-14页 |
| Chapter 2. On local and global solutions to semilinear generalized Tricomi equations in mixed-type domains | 第14-43页 |
| §2.1. Introduction and main results | 第14-18页 |
| §2.2. Some properties of confluent hypergeometric functions | 第18-20页 |
| §2.3. Properties of solutions to linear generalized Tricomi equations | 第20-38页 |
| §2.4. The proofs on Theorem 2.1.1 and Theorem 2.1.2 | 第38-43页 |
| Chapter 3.Existence and Regularity of solution to the generalized Tricomi equation with a singular initial datum at a point | 第43-72页 |
| §3.1. Introduction and main results | 第43-45页 |
| §3.2. Some properties of confluent hypergeometric functions | 第45-47页 |
| §3.3. Properties of solutions to linear generalized Tricomi equations | 第47-55页 |
| §3.4. The proofs of Theorem 3.1.1 | 第55-72页 |
| Bibliography | 第72-77页 |
| Acknowledgements | 第77-78页 |
| Finished paper during the program of Ph.D. study | 第78-79页 |
