Overview
- Authors:
-
-
Xunjing Li
-
Department of Mathematics, Fudan University, Shanghai, China
-
Jiongmin Yong
-
Department of Mathematics, Fudan University, Shanghai, China
Access this book
Other ways to access
Table of contents (9 chapters)
-
-
- Xunjing Li, Jiongmin Yong
Pages 1-23
-
- Xunjing Li, Jiongmin Yong
Pages 24-80
-
- Xunjing Li, Jiongmin Yong
Pages 81-129
-
- Xunjing Li, Jiongmin Yong
Pages 130-167
-
- Xunjing Li, Jiongmin Yong
Pages 168-222
-
- Xunjing Li, Jiongmin Yong
Pages 223-273
-
- Xunjing Li, Jiongmin Yong
Pages 274-318
-
- Xunjing Li, Jiongmin Yong
Pages 319-360
-
- Xunjing Li, Jiongmin Yong
Pages 361-418
-
Back Matter
Pages 419-450
About this book
Infinite dimensional systems can be used to describe many phenomena in the real world. As is well known, heat conduction, properties of elastic plastic material, fluid dynamics, diffusion-reaction processes, etc., all lie within this area. The object that we are studying (temperature, displace ment, concentration, velocity, etc.) is usually referred to as the state. We are interested in the case where the state satisfies proper differential equa tions that are derived from certain physical laws, such as Newton's law, Fourier's law etc. The space in which the state exists is called the state space, and the equation that the state satisfies is called the state equation. By an infinite dimensional system we mean one whose corresponding state space is infinite dimensional. In particular, we are interested in the case where the state equation is one of the following types: partial differential equation, functional differential equation, integro-differential equation, or abstract evolution equation. The case in which the state equation is being a stochastic differential equation is also an infinite dimensional problem, but we will not discuss such a case in this book.
Reviews
"This book goes plenty of new ways, which should be interesting also for the expert on this topic...this book is an excellent matured presentation of the modern subject 'Optimal processes' being also very clearly arranged in its typography."
--ZAA
