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Analytic Semigroups and Optimal Regularity in Parabolic Problems (Paperback, Reprint of the 1st edition 1995 by Birkhauser Verlag, Switzerland)
Loot Price: R3,072
Discovery Miles 30 720
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Analytic Semigroups and Optimal Regularity in Parabolic Problems (Paperback, Reprint of the 1st edition 1995 by Birkhauser Verlag, Switzerland)
Series: Modern Birkhauser Classics
Expected to ship within 10 - 15 working days
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Total price: R3,092
Discovery Miles: 30 920
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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)
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