An Introduction To Semilinear Evolution Equations (oxford Lecture Series In Mathematics And Its Applications)
by Thierry Cazenave /
1999 / English / PDF
7.8 MB Download
This book presents in a self-contained form the typical basic
properties of solutions to semilinear evolutionary partial
differential equations, with special emphasis on global properties.
It considers important examples, including the heat, Klein-Gordon,
and Schroödinger equations, placing each in the analytical
framework which allows the most striking statement of the key
properties. With the exceptions of the treatment of the
Schroödinger equation, the book employs the most standard methods,
each developed in enough generality to cover other cases. This new
edition includes a chapter on stability, which contains partial
answers to recent questions about the global behavior of solutions.
The self-contained treatment and emphasis on central concepts make
this text useful to a wide range of applied mathematicians and
theoretical researchers.
This book presents in a self-contained form the typical basic
properties of solutions to semilinear evolutionary partial
differential equations, with special emphasis on global properties.
It considers important examples, including the heat, Klein-Gordon,
and Schroödinger equations, placing each in the analytical
framework which allows the most striking statement of the key
properties. With the exceptions of the treatment of the
Schroödinger equation, the book employs the most standard methods,
each developed in enough generality to cover other cases. This new
edition includes a chapter on stability, which contains partial
answers to recent questions about the global behavior of solutions.
The self-contained treatment and emphasis on central concepts make
this text useful to a wide range of applied mathematicians and
theoretical researchers.
