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Modern Birkhäuser Classics
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Analytic Semigroups and Optimal Regularity in Parabolic Problems

Autoren: Lunardi, Alessandra

  • Systematic treatment of the basic theory of analytic semigroups and abstract parabolic equations in general Banach spaces
  • Known Theorems are presented from a novel perspective
  • Teaches how to exploit basic techniques
  • Addresses PhD students as well as researchers​
Weitere Vorteile

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Softcover 85,59 €
Preis für Deutschland (Brutto)
Über dieses Buch

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 Hölder continuous derivatives.
(Zentralblatt MATH)

Über die Autor*innen

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

Dieses Buch kaufen

Softcover 85,59 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
Analytic Semigroups and Optimal Regularity in Parabolic Problems
Autoren
Titel der Buchreihe
Modern Birkhäuser Classics
Copyright
1995
Verlag
Birkhäuser Basel
Copyright Inhaber
Springer Basel
Softcover ISBN
978-3-0348-0556-8
Buchreihen ISSN
2197-1803
Auflage
1
Seitenzahl
XVII, 424
Zusätzliche Informationen
Originally published as volume 16in the series: Progress in Nonlinear Differential Equations and Their Applications series
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