Semigroups of bounded operators and second-order elliptic and parabolic partial differential equations / Luca Lorenzi (University of Parma, Italy), Abdelaziz Rhandi (University of Salerno, Italy)

By:

Lorenzi, Luca [VerfasserIn]

Contributor(s):

Rhandi, Abdelaziz [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Monographs and research notes in mathematicsPublisher: Boca Raton ; London ; New York : CRC Press, 2021Edition: First editionDescription: 1 Online-RessourceISBN:

9780429262593
9780429557668

Subject(s):

Additional physical formats: 9780367206291. | Erscheint auch als: Semigroups of bounded operators and second-order elliptic and parabolic partial differential equations. Druck-Ausgabe Boca Raton : CRC Press Taylor & Francis Group, 2021. xxii, 480 SeitenMSC: MSC: 47-01 | 35K10 | 35J15 | 47DxxLOC classification:

QA377

Online resources:

Zugang im Netz des KIT

Summary: 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.Summary: "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"--PPN: PPN: 1756554447Package identifier: Produktsigel: BSZ-4-NLEBK-KAUB | ZDB-4-NLEBK

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