Analytic Semigroups and Optimal Regularity in Parabolic Problems (Progress in Nonlinear Differential Equations and Their Applications 16)

Alessandra Lunardi

ISBN 10: 3764351721 / ISBN 13: 9783764351724

Published by Birkhauser Basel, 1995

About this Item

First edition, first printing, 424 pp., Hardcover, previous owner's small hand stamp to front free endpaper else fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1322687

Bibliographic Details

Title: Analytic Semigroups and Optimal Regularity ...

Publisher: Birkhauser Basel

Publication Date: 1995

Binding: Hardcover

Condition: Fine

About this title

Synopsis:

The book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be fruitfully applied to the study of parabolic problems.

Particular attention is paid to optimal regularity results in linear equations. Furthermore, these results are used to study several other problems, especially fully nonlinear ones.

Owing to the new unified approach chosen, known theorems are presented from a novel perspective and new results are derived.

The book is self-contained. It is addressed to PhD students and researchers interested in abstract evolution equations and in parabolic partial differential equations and systems. It gives a comprehensive overview on the present state of the art in the field, teaching at the same time how to exploit its basic techniques.

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This very interesting book provides a systematic treatment of the basic theory of analytic semigroups and abstract parabolic equations in general Banach spaces, and how this theory may be used in the study of parabolic partial differential equations; it takes into account the developments of the theory during the last fifteen years. (...) For instance, optimal regularity results are a typical feature of abstract parabolic equations; they are comprehensively studied in this book, and yield new and old regularity results for parabolic partial differential equations and systems.
(Mathematical Reviews)  

Motivated by applications to fully nonlinear problems the approach is focused on classical solutions with continuous or Hölder continuous derivatives.
(Zentralblatt MATH)

About the Author:

Alessandra Lunardi is a professor of mathematics at the University of Parma, Italy.