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

 
9780817651725: Analytic Semigroups and Optimal Regularity in Parabolic Problems (Progress in Nonlinear Differential Equations & Their Applications)

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Synopsis

This 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, which is self-contained, 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, at the same time teaching how to exploit its basic techniques.

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About the Author

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

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  • PublisherBirkhauser
  • Publication date1995
  • ISBN 10 0817651721
  • ISBN 13 9780817651725
  • BindingHardcover
  • LanguageEnglish
  • Number of pages424

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