| Softcover ISBN: | 978-0-8218-4685-8 |
| Product Code: | MMONO/95.S |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-4507-2 |
| Product Code: | MMONO/95.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Softcover ISBN: | 978-0-8218-4685-8 |
| eBook: ISBN: | 978-1-4704-4507-2 |
| Product Code: | MMONO/95.S.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
| Softcover ISBN: | 978-0-8218-4685-8 |
| Product Code: | MMONO/95.S |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-4507-2 |
| Product Code: | MMONO/95.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Softcover ISBN: | 978-0-8218-4685-8 |
| eBook ISBN: | 978-1-4704-4507-2 |
| Product Code: | MMONO/95.S.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
-
Book DetailsTranslations of Mathematical MonographsVolume: 95; 1991; 251 ppMSC: Primary 35
This book addresses a class of equations central to many areas of mathematics and its applications. Although there is no routine way of solving nonlinear partial differential equations, effective approaches that apply to a wide variety of problems are available. This book addresses a general approach that consists of the following: Choose an appropriate function space, define a family of mappings, prove this family has a fixed point, and study various properties of the solution. The author emphasizes the derivation of various estimates, including a priori estimates. By focusing on a particular approach that has proven useful in solving a broad range of equations, this book makes a useful contribution to the literature.
-
Table of Contents
-
Chapters
-
Introduction
-
Notes for the English Translation
-
Chapter I. The first boundary value problem for second-order quasilinear parabolic equations with principal part in divergence form
-
Chapter II. A periodic boundary value problem for a nonlinear telegraph equation
-
Chapter III. The initial value problem for a nonlinear Schrödinger equation
-
Chapter IV. Multi-dimensional subsonic flows around an obstacle
-
Chapter V. The initial-boundary value problem for degenerate quasilinear parabolic equations
-
Chapter VI. The speed of propagation of the solution of a degenerate quasilinear parabolic equation
-
Chapter VII. Aleksandrov and Bony maximum principles for parabolic equations
-
Chapter VIII. The density theorem and its applications
-
Chapter IX. Fully nonlinear parabolic equations
-
Chapter X. Fully nonlinear parabolic equations (continued)
-
-
Reviews
-
Serves as a good introduction for postgraduate students ... For advanced researchers, it is also a good reference to many useful results and to various kinds of techniques.
Bulletin of the London Mathematical Society -
A well-written and instructive collection of recent results on various topics in the field of nonlinear second-order PDEs ... the exposition is exceptionally clear; Tso has provided a competent and very readable translation.
Mathematical Reviews -
Clearly written, its global quality is good.
Zentralblatt MATH
-
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
This book addresses a class of equations central to many areas of mathematics and its applications. Although there is no routine way of solving nonlinear partial differential equations, effective approaches that apply to a wide variety of problems are available. This book addresses a general approach that consists of the following: Choose an appropriate function space, define a family of mappings, prove this family has a fixed point, and study various properties of the solution. The author emphasizes the derivation of various estimates, including a priori estimates. By focusing on a particular approach that has proven useful in solving a broad range of equations, this book makes a useful contribution to the literature.
-
Chapters
-
Introduction
-
Notes for the English Translation
-
Chapter I. The first boundary value problem for second-order quasilinear parabolic equations with principal part in divergence form
-
Chapter II. A periodic boundary value problem for a nonlinear telegraph equation
-
Chapter III. The initial value problem for a nonlinear Schrödinger equation
-
Chapter IV. Multi-dimensional subsonic flows around an obstacle
-
Chapter V. The initial-boundary value problem for degenerate quasilinear parabolic equations
-
Chapter VI. The speed of propagation of the solution of a degenerate quasilinear parabolic equation
-
Chapter VII. Aleksandrov and Bony maximum principles for parabolic equations
-
Chapter VIII. The density theorem and its applications
-
Chapter IX. Fully nonlinear parabolic equations
-
Chapter X. Fully nonlinear parabolic equations (continued)
-
Serves as a good introduction for postgraduate students ... For advanced researchers, it is also a good reference to many useful results and to various kinds of techniques.
Bulletin of the London Mathematical Society -
A well-written and instructive collection of recent results on various topics in the field of nonlinear second-order PDEs ... the exposition is exceptionally clear; Tso has provided a competent and very readable translation.
Mathematical Reviews -
Clearly written, its global quality is good.
Zentralblatt MATH
