Summer Reading Sale
 
 

Recently Viewed clear list


Original Essays | July 22, 2014

Nick Harkaway: IMG The Florist-Assassins



The three men lit up in my mind's eye, with footnotes. They were converging on me — and on the object I was carrying — in a way that had... Continue »
  1. $18.87 Sale Hardcover add to wish list

    Tigerman

    Nick Harkaway 9780385352413

spacer
Qualifying orders ship free.
$12.95
New Trade Paper
Ships in 1 to 3 days
Add to Wishlist
Available for In-store Pickup
in 7 to 12 days
Qty Store Section
1 Remote Warehouse General- General
8 Remote Warehouse Mathematics- Differential Equations

Hilbert Space Methods in Partial Differential Equations (Dover Books on Mathematics)

by

Hilbert Space Methods in Partial Differential Equations (Dover Books on Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

This text surveys the principal methods of solving partial differential equations. Suitable for graduate students of mathematics, engineering, and physical sciences, it requires knowledge of advanced calculus.

The initial chapter contains an elementary presentation of Hilbert space theory that provides sufficient background for understanding the rest of the book. Succeeding chapters introduce distributions and Sobolev spaces and examine boundary value problems, first- and second-order evolution equations, implicit evolution equations, and topics related to optimization and approximation. The text, which features 40 examples and 200 exercises, concludes with suggested readings and a bibliography.

Synopsis:

This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.

Synopsis:

This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.

Table of Contents

I. Elements of Hilbert Space
   Linear Algebra
   Convergence and Continuity
   Completeness
   Hilbert Space
   Dual Operators; Identifications
   Uniform Boundedness; Weak Compactness
   Expansion in Eigenfunctions
II. Distributions and Sobolev Spaces
    Distributions
    Sobolev Spaces
    Trace
    Sobolev's Lemma and Imbedding
    Density and Compactness
III. Boundary Value Problems
      Introduction
      Forms, Operators and Green's Formula
      Abstract Boundary Value Problems
      Examples
      Coercivity; Elliptic Forms
      Regularity
      Closed operators, adjoints and eigenfunction expansions
IV. First Order Evolution Equations
      Introduction
      The Cauchy Problem
      Generation of Semigroups
      Accretive Operators; two examples
      Generation of Groups; a wave equation
      Analytic Semigroups
      Parabolic Equations
V. Implicit Evolution Equations
     Introduction
     Regular Equations
     Pseudoparabolic Equations
     Degenerate Equations
     Examples
VI. Second Order Evolution Equations
      Introduction
      Regular Equations
      Sobolev Equations
      Degenerate Equations
      Examples
VII. Optimization and Approximation Topics
       Dirichlet's Principle
       Minimization of Convex Functions
       Variational Inequalities
       Optimal Control of Boundary Value Problems
       Approximation of Elliptic Problems
       Approximation of Evolution Equations
 
 
 

Product Details

ISBN:
9780486474434
Author:
Showalter, Ralph E.
Publisher:
Dover Publications
Author:
Showalter, Ralph
Author:
Showalter, R. E.
Author:
Mathematics
Subject:
Differential Equations
Subject:
Differential equations, partial
Subject:
Hilbert space
Subject:
Transformations
Subject:
Differential Equations - Partial Differential Equations
Subject:
Hilbert Space Theory
Subject:
Boundary value problems
Subject:
Evolution equations
Subject:
General-General
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20100331
Binding:
TRADE PAPER
Language:
English
Pages:
224
Dimensions:
9 x 6 in 0.64 lb

Other books you might like

  1. Discrete Mathematics and Its... Used Hardcover $112.00

Related Subjects


Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » General
Science and Mathematics » Physics » General

Hilbert Space Methods in Partial Differential Equations (Dover Books on Mathematics) New Trade Paper
0 stars - 0 reviews
$12.95 In Stock
Product details 224 pages Dover Publications - English 9780486474434 Reviews:
"Synopsis" by ,
This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.
"Synopsis" by ,
This graduate-level text opens with an elementary presentation of Hilbert space theory sufficient for understanding the rest of the book. Additional topics include boundary value problems, evolution equations, optimization, and approximation.1979 edition.
spacer
spacer
  • back to top
Follow us on...




Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.