Harnack's Inequality for Degenerate and Singular Parabolic Equations

• Main Authors: DiBenedetto, Emmanuele (Author), Gianazza, Ugo (Author), Vespri, Vincenzo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2012.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Special functions.; Partial Differential Equations.; Analysis.; Special Functions.

While degenerate and singular parabolic equations have been researched extensively for the last 25 years, the Harnack inequality for nonnegative solutions to these equations has received relatively little attention. Recent progress has been made on the Harnack inequality to the point that the theory...

Table of Contents:

• Preface
• 1. Introduction
• 2. Preliminaries
• 3. Degenerate and Singular Parabolic Equations
• 4. Expansion of Positivity
• 5. The Harnack Inequality for Degenerate Equations
• 6. The Harnack Inequality for Singular Equations
• 7. Homogeneous Monotone Singular Equations
• Appendix A
• Appendix B
• Appendix C
• References
• Index.