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- Title Pages
- Preface
- Introduction
- Part I Estimates for the PME/FDE
- 1 Preliminaries
- 2 Smoothing effect and time decay. Data in <i>L</i> <sup>1</sup> (R<sup><i>n</i></sup>) or <i>M</i> (R<sup><i>n</i></sup>)
- 3 Smoothing effect and time decay from <i>L</i> <sup><i>p</i></sup> or <i>M</i> <sup><i>p</i></sup>
- 4 Lower bounds, contractivity, error estimates, and continuity
- Part II Study of the subcritical FDE
- 5 Subcritical range of the FDE. Critical line. Extinction. Backward effect
- 6 Improved analysis of the critical line. Delayed regularity
- 7 Extinction rates and asymptotics for 0 < <i>m</i> < <i>m</i> <sub><i>c</i></sub>
- 8 Logarithmic diffusion in 2D and intermediate 1D range
- 9 Superfast FDE
- 10 Summary of main results for the PME/FDE
- Part III Extensions and appendices
- 11 Evolution equations of the <i>p</i>-Laplacian type
- Appendix I. Some analysis topics
- Appendix II. Particles and speeds
- Appendix III. Some Riemannian geometry
- Appendix IV. Some extensions and parallel topics
- Bibliography
- Index
(p.203) Appendix I. Some analysis topics
(p.203) Appendix I. Some analysis topics
- Source:
- Smoothing and Decay Estimates for Nonlinear Diffusion Equations
- Publisher:
- Oxford University Press
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- Title Pages
- Preface
- Introduction
- Part I Estimates for the PME/FDE
- 1 Preliminaries
- 2 Smoothing effect and time decay. Data in <i>L</i> <sup>1</sup> (R<sup><i>n</i></sup>) or <i>M</i> (R<sup><i>n</i></sup>)
- 3 Smoothing effect and time decay from <i>L</i> <sup><i>p</i></sup> or <i>M</i> <sup><i>p</i></sup>
- 4 Lower bounds, contractivity, error estimates, and continuity
- Part II Study of the subcritical FDE
- 5 Subcritical range of the FDE. Critical line. Extinction. Backward effect
- 6 Improved analysis of the critical line. Delayed regularity
- 7 Extinction rates and asymptotics for 0 < <i>m</i> < <i>m</i> <sub><i>c</i></sub>
- 8 Logarithmic diffusion in 2D and intermediate 1D range
- 9 Superfast FDE
- 10 Summary of main results for the PME/FDE
- Part III Extensions and appendices
- 11 Evolution equations of the <i>p</i>-Laplacian type
- Appendix I. Some analysis topics
- Appendix II. Particles and speeds
- Appendix III. Some Riemannian geometry
- Appendix IV. Some extensions and parallel topics
- Bibliography
- Index
