Articoli correlati a An Introduction to Semilinear Evolution Equations:...

An Introduction to Semilinear Evolution Equations: 13 - Rilegato

Cazenave, Thierry; Haraux, Alain

 
9780198502777: An Introduction to Semilinear Evolution Equations: 13

Sinossi

This book presents an upper level text on semilinear evolutionary partial differential equations aimed at the graduate and postgraduate level. Cazenave and Haraux present in a self-contained way, the typical basic properties of solutions to semi-linear evolutionary partial differential equations, with special emphasis on global properties. The main objective of this book is to provide a didactic approach to the subject , and the main readership will be graduate students in mathematical analysis, as well as professional applied mathematicians.

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Recensione

... an excellent introduction to the modern theory of linear and semilinear evolution equations. It is highly suitable as lecture notes for an advanced course on the subject. (ZAMM (Journal of Applied Mathematics and Mechanics))

... highly recommended as a very clearly written, excellent textbook. (Zentralblatt Math)

Contenuti

  • Contents
  • Introduction
  • 1: Preliminary results
  • 2: m-dissipative operators
  • 3: The Hille-Yosida-Phillips Theorem and applications
  • 4: Nonhomogeneous equations and abstract semilinear problems
  • 5: The heat equation
  • 6: The Klein-Gordon equation
  • 7: The Schrödinger equation
  • 8: Bounds on global solutions
  • 9: The invariance principle and some applications
  • 10: Stability of stationary solutions
  • 11: Comments
  • Bibliography
  • Notation
  • Index

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