Description

Book Synopsis
This volume is on initial-boundary value problems for parabolic partial differential equations of second order. It rewrites the problems as abstract Cauchy problems or evolution equations, and then solves them by the technique of elementary difference equations. Because of this, the volume assumes less background and provides an easy approach for readers to understand.

Table of Contents
Existence Theorems for Cauchy Problems; Existence Theorems for Evolution Equations (I); Linear Autonomous Parabolic Equations; Nonlinear Autonomous Parabolic Equations; Linear Non-autonomous Parabolic Equations; Nonlinear Non-autonomous Parabolic Equations (I); The Associated Elliptic Equations; Existence Theorems for Evolution Equations (II); Nonlinear Non-autonomous Parabolic Equations (II); Appendix;

Exponential Function Approach To Parabolic

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    A Hardback by Chin-yuan Lin

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      View other formats and editions of Exponential Function Approach To Parabolic by Chin-yuan Lin

      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: 13/10/2014
      ISBN13: 9789814616386, 978-9814616386
      ISBN10: 9814616389

      Description

      Book Synopsis
      This volume is on initial-boundary value problems for parabolic partial differential equations of second order. It rewrites the problems as abstract Cauchy problems or evolution equations, and then solves them by the technique of elementary difference equations. Because of this, the volume assumes less background and provides an easy approach for readers to understand.

      Table of Contents
      Existence Theorems for Cauchy Problems; Existence Theorems for Evolution Equations (I); Linear Autonomous Parabolic Equations; Nonlinear Autonomous Parabolic Equations; Linear Non-autonomous Parabolic Equations; Nonlinear Non-autonomous Parabolic Equations (I); The Associated Elliptic Equations; Existence Theorems for Evolution Equations (II); Nonlinear Non-autonomous Parabolic Equations (II); Appendix;

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