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. - - - 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 Hoelder continuous derivatives. (Zentralblatt MATH)
Product Identifiers
Publisher
Birkhauser Verlag Ag
ISBN-13
9783034805568
eBay Product ID (ePID)
129263018
Product Key Features
Author
Alessandra Lunardi
Publication Name
Analytic Semigroups and Optimal Regularity in Parabolic Problems
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2012
Type
Textbook
Number of Pages
424 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Item Weight
676g
Additional Product Features
Title_Author
Alessandra Lunardi
Series Title
Modern Birkhauser Classics
Country/Region of Manufacture
Switzerland
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