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APPLIED FUNCTIONAL ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS
by Milan Miklavcic (Michigan State University)
This book is an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which they require. It is based on a course which has been taught at Michigan State University for a number of years. The purpose of the course, and of the book, is to give students a rapid and solid research-oriented foundation in areas of PDEs, such as semilinear parabolic equations, that include studies of the stability of fluid flows and, more generally, of the dynamics generated by dissipative systems, numerical PDEs, elliptic and hyperbolic PDEs, and quantum mechanics.
Contents:
- Linear Operators in Banach Spaces
- Linear Operators in Hilbert
Spaces
- Sobolev Spaces
- Semigroups of Linear Operators
- Weakly Nonlinear Evolution Equations
- Semilinear Parabolic Equations
Readership: Graduates and undergraduates in pure and applied mathematics.
"It is not so easy to find a readable, short account of this material. This book seems to do the job."
"The book is very readily written and we can recommend it for a graduate course in semigroup theory."
| 304pp |
Pub. date: Aug 1998 |
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