Smoothing and Decay Estimates for Nonlinear Diffusion Equations
Equations of Porous Medium Type
Series: Oxford Lecture Series in Mathematics and Its Applications; 33;
- Publisher's listprice GBP 125.00
-
56 437 Ft (53 750 Ft + 5% VAT)
The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.
- Discount 10% (cc. 5 644 Ft off)
- Discounted price 50 794 Ft (48 375 Ft + 5% VAT)
Subcribe now and take benefit of a favourable price.
Subscribe
56 437 Ft
Availability
printed on demand
Why don't you give exact delivery time?
Delivery time is estimated on our previous experiences. We give estimations only, because we order from outside Hungary, and the delivery time mainly depends on how quickly the publisher supplies the book. Faster or slower deliveries both happen, but we do our best to supply as quickly as possible.
Product details:
- Publisher OUP Oxford
- Date of Publication 3 August 2006
- ISBN 9780199202973
- Binding Hardback
- No. of pages250 pages
- Size 242x161x17 mm
- Weight 503 g
- Language English 0
Categories
Short description:
This text is concerned with quantitative aspects of the theory of nonlinear diffusion equations, which
appear as mathematical models in different branches of Physics, Chemistry, Biology and Engineering.
Long description:
This text is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as mathematical models in different branches of Physics, Chemistry, Biology, and Engineering, and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on estimates and functional analysis.
Concentrating on a class of equations with nonlinearities of power type that lead to degenerate or singular parabolicity ("equations of porous medium type"), the aim of this text is to obtain sharp a priori estimates and decay rates for general classes of solutions in terms of estimates of particular problems. These estimates are the building blocks in understanding the qualitative theory, and the decay rates pave the way to the fine study of asymptotics. Many technically relevant questions are presented and analyzed in detail. A systematic picture of the most relevant phenomena is obtained for the equations under study, including time decay, smoothing, extinction in finite time, and delayed regularity.
This book is intended to introduce graduate students to the methods and results of nonlinear diffusion equations of porous medium type, as practised today. The present text, remarkable for generality and depth, is also notable for its author's concern, throughout, to keep the important issues about varieties clearly in the foreground ... [the book] succeeds admirably, in the reviewer's opinion, in introducing its difficult subject at a level appropriate for preparing future workers in the field.
Table of Contents:
Preface
Part I
Preliminaries
Smoothing effect and time decay. Data in L¹(R^n) or M(R^n)
Smoothing effect and time decay from L^p or M^p
Lower bounds, contractivity, error estimates and continuity
Part II
Subcritical range of the FDE. Critical line. Extinction. Backward effect
Improved analysis of the critical line. Delayed regularity
Extinction rates and asymptotics for 0
Super-fast FDE
Summary of main results for the PME/FDE
Part III
Evolution equations of the p-Laplacian type
Appendices
Bibliography
Index
