An Exponential Function Approach to Parabolic Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book An Exponential Function Approach to Parabolic Equations by Chin-Yuan Lin, World Scientific Publishing Company
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Author: Chin-Yuan Lin ISBN: 9789814616409
Publisher: World Scientific Publishing Company Publication: August 8, 2014
Imprint: WSPC Language: English
Author: Chin-Yuan Lin
ISBN: 9789814616409
Publisher: World Scientific Publishing Company
Publication: August 8, 2014
Imprint: WSPC
Language: English

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.

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

Readership: Mathematical graduate students and researchers in the area of Analysis and Differential Equations. It is also good for engineering graduate students and researchers who are interested in parabolic partial differential equations.
Key Features:

  • The book assumes less background, provides an easy approach, and establishes good results
  • It contains recent materials that are interesting to graduate students and researchers
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

Contents:

Readership: Mathematical graduate students and researchers in the area of Analysis and Differential Equations. It is also good for engineering graduate students and researchers who are interested in parabolic partial differential equations.
Key Features:

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