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Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations

2021-01-05 Mathematics
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Release : 2021-01-05
Genre : Mathematics
Kind : eBook
Book Rating : 196/5 ( reviews)

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Book Synopsis Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations by : Luca Lorenzi

Download or read book Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations written by Luca Lorenzi. This book was released on 2021-01-05. Available in PDF, EPUB and Kindle. Book excerpt: 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

Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations

2020 Mathematics
Download Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations PDF Online Free

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Release : 2020
Genre : Mathematics
Kind : eBook
Book Rating : 593/5 ( reviews)

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Book Synopsis Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations by : Luca Lorenzi

Download or read book Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations written by Luca Lorenzi. This book was released on 2020. Available in PDF, EPUB and Kindle. Book excerpt: "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"--

Semigroups of Linear Operators and Applications to Partial Differential Equations

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 619/5 ( reviews)

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Book Synopsis Semigroups of Linear Operators and Applications to Partial Differential Equations by : Amnon Pazy

Download or read book Semigroups of Linear Operators and Applications to Partial Differential Equations written by Amnon Pazy. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations. This book presents that theory and its basic applications, and the last two chapters give a connected account of the applications to partial differential equations.

Boundary Value Problems and Markov Processes

2009-06-17 Mathematics
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Release : 2009-06-17
Genre : Mathematics
Kind : eBook
Book Rating : 774/5 ( reviews)

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Book Synopsis Boundary Value Problems and Markov Processes by : Kazuaki Taira

Download or read book Boundary Value Problems and Markov Processes written by Kazuaki Taira. This book was released on 2009-06-17. Available in PDF, EPUB and Kindle. Book excerpt: This is a thorough and accessible exposition on the functional analytic approach to the problem of construction of Markov processes with Ventcel’ boundary conditions in probability theory. It presents new developments in the theory of singular integrals.

Semigroups of Linear Operators

2019-08-15 Mathematics
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Release : 2019-08-15
Genre : Mathematics
Kind : eBook
Book Rating : 522/5 ( reviews)

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Book Synopsis Semigroups of Linear Operators by : David Applebaum

Download or read book Semigroups of Linear Operators written by David Applebaum. This book was released on 2019-08-15. Available in PDF, EPUB and Kindle. Book excerpt: The theory of semigroups of operators is one of the most important themes in modern analysis. Not only does it have great intellectual beauty, but also wide-ranging applications. In this book the author first presents the essential elements of the theory, introducing the notions of semigroup, generator and resolvent, and establishes the key theorems of Hille–Yosida and Lumer–Phillips that give conditions for a linear operator to generate a semigroup. He then presents a mixture of applications and further developments of the theory. This includes a description of how semigroups are used to solve parabolic partial differential equations, applications to Levy and Feller–Markov processes, Koopmanism in relation to dynamical systems, quantum dynamical semigroups, and applications to generalisations of the Riemann–Liouville fractional integral. Along the way the reader encounters several important ideas in modern analysis including Sobolev spaces, pseudo-differential operators and the Nash inequality.

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