TY - BOOK AU - Denzler,Jochen AU - Koch,Herbert AU - McCann,Robert J. TI - Higher-order time asymptotics of fast diffusion in Euclidean space: a dynamical systems methods T2 - Memoirs of the American Mathematical Society, SN - 9781470420284 (online) AV - QA401 .D46 2014 U1 - 519.2/33 23 PY - 2014///] CY - Providence, Rhode Island PB - American Mathematical Society KW - Mathematical physics KW - Geometry, Riemannian KW - Topological spaces N1 - Includes bibliographical references; Chapter 1. Introduction; Chapter 2. Overview of Obstructions and Strategies, and Notation; Chapter 3. The nonlinear and linear equations in cigar coordinates; Chapter 4. The cigar as a Riemannian manifold; Chapter 5. Uniform manifolds and H�older spaces; Chapter 6. Schauder estimates for the heat equation; Chapter 7. Quantitative global well-posedness of the linear and nonlinear equations in H�older spaces; Chapter 8. The spectrum of the linearized equation; Chapter 9. Proof of Theorem 1.1; Chapter 10. Asymptotic estimates in weighted spaces: The case $m< \frac {n}{n+2}$; Chapter 11. Higher asymptotics in weighted spaces: The case $m> \frac {n}{n+2}$. Proof of Theorem 1.2 and its corollaries; Appendix A. Pedestrian derivation of all Schauder Estimates; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2015 UR - http://www.ams.org/memo/1101/ UR - http://dx.doi.org/10.1090/memo/1101 ER -