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Analytic Semigroups and Optimal Regularity in Parabolic Problems: v. 16 (Modern Birkhauser Classics) - Tapa dura
Sinopsis
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.
"Sinopsis" puede pertenecer a otra edición de este libro.
Acerca del autor
Alessandra Lunardi is a professor of mathematics at the University of Parma, Italy.
De la contraportada
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)
"Sobre este título" puede pertenecer a otra edición de este libro.
- EditorialBirkhauser
- Año de publicación1995
- ISBN 10 3764351721
- ISBN 13 9783764351724
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas452
- Contacto del fabricanteno disponible
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Analytic Semigroups and Optimal Regularity in Parabolic Problems (Progress in Nonlinear Differential Equations and Their Applications 16)
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Birkhauser Basel, 1995
ISBN 10: 3764351721
ISBN 13: 9783764351724
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Analytic Semigroups and Optimal Regularity in Parabolic Problems (Modern Birkhäuser Classics, Band 16)
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Analytic Semigroups and Optimal Regularity in Parabolic Problems
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ISBN 10: 3764351721
ISBN 13: 9783764351724
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Analytic Semigroups and Optimal Regularity in Parabolic Problems
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Theory of Algorithms. (= Works of the Mathematical Institute Imeni V.A. Steklov, Volume XLII).
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