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Semigroups of bounded operators and second-order elliptic and parabolic partial differential equations /

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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 semigr...

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Bibliographic Details
Main Authors: Lorenzi, Luca (Author), Rhandi, Abdelaziz (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton : Chapman & Hall/CRC, 2020.
Edition:1st.
Series:Chapman & Hall/CRC monographs and research notes in mathematics
Subjects:
Differential equations, Elliptic.
Differential equations, Parabolic.
Semigroups of operators.
Operator theory.
Équations différentielles elliptiques.
Équations différentielles paraboliques.
Semi-groupes d'opérateurs.
Théorie des opérateurs.
MATHEMATICS / Differential Equations
MATHEMATICS / Geometry / Algebraic
Differential equations, Elliptic
Differential equations, Parabolic
Operator theory
Semigroups of operators
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Function spaces
  • Strongly continuous semigroups
  • Analytic semigroups
  • Elliptic and parabolic maximum principles
  • Prelude to parabolic equations : the heat equation and the Gauss-Weierstrass semigroup in Cb(Rd)
  • Parabolic equations in R^d
  • Parabolic equations in R^d/+ with Dirichlet boundary conditions
  • Parabolic equations in R^d/+ with more general boundary conditions
  • Parabolic equations in bounded smooth domains [Omega]
  • Elliptic equations in R^d
  • Elliptic equations in R^d/+ with homogeneous Dirichlet boundary conditions
  • Elliptic equation in R^d/+ with general boundary conditions
  • Elliptic equations on smooth domains [Omega]
  • Elliptic operators and analytic semigroups
  • Kernel estimates.