Beyond Partial Differential Equations On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations /

• Main Author: Beyer, Horst Reinhard (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Lecture Notes in Mathematics, 1898
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Operator theory.; Partial differential equations.; Analysis.; Operator Theory.; Partial Differential Equations.

The present volume is self-contained and introduces to the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups. The theoretical part is accessible to graduate students with basic knowledge in functional analysis....

Table of Contents:

• Conventions
• Mathematical Introduction
• Prerequisites
• Strongly Continuous Semigroups
• Examples of Generators of Strongly Continuous Semigroups
• Intertwining Relations, Operator Homomorphisms
• Examples of Constrained Systems
• Kernels, Chains, and Evolution Operators
• The Linear Evolution Equation
• Examples of Linear Evolution Equations
• The Quasi-Linear Evolution Equation
• Examples of Quasi-Linear Evolution Equations.