Semigroups of bounded operators and second-order elliptic and parabolic partial differential equations / Luca Lorenzi, Abdelaziz Rhandi.

Author/creator Lorenzi, Luca
Other author Rhandi, Abdelaziz.
Format Electronic
EditionFirst edition.
Publication InfoBoca Raton : CRC Press, 2020.
Descriptionpages cm
Supplemental ContentFull text available from Taylor & Francis eBooks
Subjects

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.
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 type Introduces the reader to the theory of operator semigroups as a tool for the analysis of partial differential equations"-- Provided by publisher.
Bibliography noteIncludes bibliographical references and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2020039019
ISBN9780367206291 (hardback)
ISBN(ebook)

Availability

Library Location Call Number Status Item Actions
Electronic Resources Access Content Online ✔ Available