The one-dimensional heat equation

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The one-dimensional heat equation / John Rozier Cannon ; foreword by Felix E. Browder

資料種別:: 図書
出版情報:: Reading, Mass. ; Menlo Park, Cal. : Addison-Wesley Pub. Co., Advanced Book Program, 1984
形態:: xxv, 483 p. ; 25 cm
シリーズ名:: Encyclopedia of mathematics and its applications ; v. 23 . Section, Analysis <BA00064663>
著者名:: Cannon, John Rozier, 1938- <DA00550023>
ISBN:: 9780201135220 [0201135221]
書誌ID:: BA03169974

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注記:

Bibliography: p. 357-477
Includes indexes

主題:

Heat equation

言語:

英語

目次情報:

EditorG++s statement

Foreword / Felix E. Browder

Preface

Preliminaries

Introduction / 1：

The Cauchy problem / 2：

The initial-value problem / 3：

The initial-boundary-value problem for the quarter plane with temperature-boundary specification / 4：

The initial-boundary-value problem for the quarter plane with heat-flux-boundary specification / 5：

The initial-boundary-value problem for the semi-infinite strip with temperature-boundary specification and heat-flux-boundary specification / 6：

The reduction of some initial-boundary-value problems for the semi-infinite strip, to integral equations: some exercises / 7：

Integral equations / 8：

Solutions of boundary-value problems for all times and periodic solutions / 9：

Analyticity of solutions / 10：

Continuous dependence upon the data for some state-estimation problems / 11：

Some numerical methods for some state-estimation problems / 12：

Determination of an unknown time-dependent diffusivity a(t) from overspecified data / 13：

Initial- and/or boundary-value problems for gneral regions with H+ lder continuous boundaries / 14：

Some properties of solutions in general domains / 15：

The solution in a general region with temperature-boundary specification: the method of perron-poincar+¼ / 16：

The one-phase stefan problem with temperature-boundary specification / 17：

The one-phase stefan problem with flux-boundary specification: some exercises / 18：

The inhomogeneous heat equation ut=uxx+f(x,t) / 19：

An application of the inhomogeneous heat equation: the equation ut=uxx+f(x,t,u,ux) / 20：

Symbol index

Subject index

EditorG++s statement

Foreword / Felix E. Browder

Preface

Preliminaries

Introduction / 1：

The Cauchy problem / 2：

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