Theory and Applications of Abstract Semilinear Cauchy Problems

• Main Authors: Magal, Pierre (Author, http://id.loc.gov/vocabulary/relators/aut), Ruan, Shigui (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Applied Mathematical Sciences, 201
• Subjects: Differential equations.; Partial differential equations.; Ordinary Differential Equations.; Partial Differential Equations.

Several types of differential equations, such as functional differential equation, age-structured models, transport equations, reaction-diffusion equations, and partial differential equations with delay, can be formulated as abstract Cauchy problems with non-dense domain. This monograph provides a s...

Table of Contents:

• Chapter 1- Introduction
• Chapter 2- Semigroups and Hille-Yosida Theorem
• Chapter 3- Integrated Semigroups and Cauchy Problems with Non-dense Domain
• Chapter 4- Spectral Theory for Linear Operators
• Chapter 5- Semilinear Cauchy Problems with Non-dense Domain
• Chapter 6- Center Manifolds, Hopf Bifurcation and Normal Forms
• Chapter 7- Functional Differential Equations
• Chapter 8- Age-structured Models
• Chapter 9- Parabolic Equations
• References
• Index.