ABSTRACT

Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations aims to propose a unified approach to elliptic and parabolic equations with bounded and smooth coefficients. The book will highlight the connections between these equations and the theory of semigroups of operators, while demonstrating how the theory of semigroups represents a powerful tool to analyze general parabolic equations.

Features

  • Useful for students and researchers as an introduction to the field of partial differential equations of elliptic and parabolic types
  • Introduces the reader to the theory of operator semigroups as a tool for the analysis of partial differential equations

chapter Chapter 1|34 pages

Function Spaces

part 1|48 pages

Semigroups of Bounded Operators

chapter 36Chapter 2|18 pages

Strongly Continuous Semigroups

chapter Chapter 3|28 pages

Analytic Semigroups

part II|164 pages

Semigroups of Bounded Operators