Bibliographic Information

Diffusion equations

Seizô Itô ; translated by Seizô Itô

(Translations of mathematical monographs, v. 114)

American Mathematical Society, c1992

Other Title

拡散方程式

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Note

Includes bibliographical references (p. 221-223) and index

Description and Table of Contents

Description

This book presents a self-contained exposition of the theory of initial-boundary value problems for diffusion equations. Intended as a graduate textbook, the book is of interest to mathematicians as well as theoretical physicists. Because it uses as little knowledge of functional analysis as possible, the book is accessible to those with a background in multivariable calculus, elementary Lebesgue integral theory, and basic parts of the theory of integral equations. It treats diffusion equations with variable coefficients associated with boundary conditions and the corresponding elliptic differential equations. The fundamental solution of the initial-boundary value problem and Green's function for the elliptic boundary value problem are constructed, and the existence of solutions of these problems is proved. In addition, the book discusses several important properties of the solutions.

Table of Contents

Fundamental solutions of diffusion equations in Euclidean spaces Diffusion equations in a bounded domain Diffusion equations in unbounded domains Elliptic boundary vlaue problems Some related topics in vector analysis.

by "Nielsen BookData"

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Details

  • NCID
    BA1955174X
  • ISBN
    • 0821845705
  • LCCN
    92024069
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    jpn
  • Place of Publication
    Providence, R.I.
  • Pages/Volumes
    x, 225 p.
  • Size
    27 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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