Nonelliptic Partial Differential Equations Analytic Hypoellipticity and the Courage to Localize High Powers of T /

• Main Author: Tartakoff, David S. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2011.
• Series: Developments in Mathematics, 22
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Partial Differential Equations.; Analysis.

This book fills a real gap in the analytical literature. After many years and many results of analytic regularity for partial differential equations, the only access to the technique known as $(T^p)_\phi$ has remained embedded in the research papers themselves, making it difficult for a graduate stu...

Table of Contents:

• 1. What this book is and is not
• 2. Brief Introduction
• 3.Overview of Proofs
• 4. Full Proof for the Heisenberg Group
• 5. Coefficients
• 6. Pseudo-differential Problems
• 7. Sums of Squares and Real Vector Fields
• 8. \bar{\partial}-Neumann and the Boundary Laplacian
• 9. Symmetric Degeneracies
• 10. Details of the Previous Chapter. -11. Non-symplectic Strategem ahe
• 12. Operators of Kohn Type Which Lose Derivatives
• 13. Non-linear Problems
• 14. Treves' Approach
• 15. Appendix
• Bibliography.