Higher-order time asymptotics of fast diffusion in Euclidean space : a dynamical systems approach

Higher-order time asymptotics of fast diffusion in Euclidean space : a dynamical systems approach / Jochen Denzler, Herbert Koch, Robert J. McCann.

This paper quantifies the speed of convergence and higher-order asymptotics of fast diffusion dynamics on R [superscript]n to the Barenblatt (self similar) solution. Degeneracies in the parabolicity of this equation are cured by re-expressing the dynamics on a manifold with a cylindrical end, called...

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Bibliographic Details
Main Authors: Denzler, Jochen (Author), Koch, Herbert, 1962- (Author), McCann, Robert J., 1968- (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 2015.
Series:Memoirs of the American Mathematical Society ; no. 1101.
Subjects:
Mathematical physics.
Geometry, Riemannian.
Topological spaces.
Geometry, Riemannian
Mathematical physics
Topological spaces
Online Access:Click for online access
Table of Contents:
  • ""Cover""; ""Title page""; ""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 Hölder spaces""; ""Chapter 6. Schauder estimates for the heat equation""; ""Chapter 7. Quantitative global well-posedness of the linear and nonlinear equations in Hölder 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 /(+2). Proof of Theorem 1.2 and its corollaries.
  • Appendix A. Pedestrian derivation of all Schauder Estimates
  • Bibliography
  • Back Cover

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