Description

Book Synopsis
This book is an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which they require. It is based on a course which has been taught at Michigan State University for a number of years. The purpose of the course, and of the book, is to give students a rapid and solid research-oriented foundation in areas of PDEs, such as semilinear parabolic equations, that include studies of the stability of fluid flows and, more generally, of the dynamics generated by dissipative systems, numerical PDEs, elliptic and hyperbolic PDEs, and quantum mechanics.

Table of Contents
Linear operators in Banach spaces; linear operators in Hilbert spaces; Sobolev spaces; semigroups of linear operators; weakly nonlinear evolution equations; semilinear parabolic equations.

Applied Functional Analysis And Partial

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A Hardback by Milan Miklavcic

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    View other formats and editions of Applied Functional Analysis And Partial by Milan Miklavcic

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 11/08/1998
    ISBN13: 9789810235352, 978-9810235352
    ISBN10: 9810235356
    Also in:
    Applied mathematics Differential calculus and equations Functional analysis and transforms

    Description

    Book Synopsis
    This book is an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which they require. It is based on a course which has been taught at Michigan State University for a number of years. The purpose of the course, and of the book, is to give students a rapid and solid research-oriented foundation in areas of PDEs, such as semilinear parabolic equations, that include studies of the stability of fluid flows and, more generally, of the dynamics generated by dissipative systems, numerical PDEs, elliptic and hyperbolic PDEs, and quantum mechanics.

    Table of Contents
    Linear operators in Banach spaces; linear operators in Hilbert spaces; Sobolev spaces; semigroups of linear operators; weakly nonlinear evolution equations; semilinear parabolic equations.

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