An Exponential Function Approach to Parabolic Equations

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