Theory of Semigroups and Applications

• Main Authors: Sinha, Kalyan B. (Author), Srivastava, Sachi (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Series: Texts and Readings in Mathematics, 74
• Subjects: Mathematics.; Functional analysis.; Differential equations.; Partial differential equations.; Functions of real variables.; Functional Analysis.; Real Functions.; Ordinary Differential Equations.; Partial Differential Equations.

The book presents major topics in semigroups, such as operator theory, partial differential equations, harmonic analysis, probability and statistics and classical and quantum mechanics, and applications. Along with a systematic development of the subject, the book emphasises on the explorations of t...

Table of Contents:

• Chapter 1. Vector-valued functions
• Chapter 2. C0-semigroups
• Chapter 3. Dissipative operators and holomorphic semigroups
• Chapter 4. Perturbation and convergence of semigroups
• Chapter 5. Chernoff’s Theorem and its applications
• Chapter 6. Markov semigroups
• Chapter 7. Applications to partial differential equations
• Appendix A1. Unbounded operators
• Appendix A2. Fourier transforms
• Appendix A3. Sobolev spaces.