Sobolev Spaces (Volume 140) (Pure and Applied Mathematics, Volume 140) 2nd Edition

A comprehensive exposition of the Sobolev creation: the ethos of the solutions for differential equations. Ethos means dwelling, but much more than abode it means a way of being. The Sobolev spaces are the whole being of the solutions, the way they are. The way they look like.Adams and Fournier present that ethos with detail. All important and essential properties are studied rigorously and exhaustively. Those dwellings have the convenient property of being complete. This means that they are Euclidean extensions without gaps; they are continuous extensions, no holes, no hiatus. One cannot gain everything, there is always something missing. The lack of the ethos created by Sobolev is huge: the metric limitation does not guarantee scarceness of extension. This is a major problem we have to deal with. A new concept of proximity has to be invented. Also, it is very important to enable reification since a solution living in the Sobolev ethos has to be a vintage solution.The book is indispensable for graduate student and researcher that wish to struggle along the road of the non-linear differential equations.

A very interesting textbook for people interested in functional analysis. It provides a great introduction for beginners but also clear and rigorous demonstrations of more technical points.

This book I got in only 730 bucks. This is a very good book for Sobolev space.

Very good. I did not even think that this book is available in such e less price. Execellent.

Such a pleasant surprise when I found that this great book is available in such a little price (only 734/-), that too in hardcover. The page and print quality is just wonderful. I still cannot believe my luck.

Nice books.

The book is good for research purpose.