Analytic Semigroups and Optimal Regularity in Parabolic Problems

Első borító
Springer Science & Business Media, 1995. jan. 1. - 424 oldal
1 Ismertető
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.
  

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Tartalomjegyzék

spaces of continuous
6
Interpolation theory
11
Analytic semigroups and intermediate spaces
33
Generation of analytic semigroups by elliptic operators
69
Nonhomogeneous equations
121
This
153
Linear parabolic problems
173
Linear nonautonomous equations
211
Semilinear equations
253
Fully nonlinear equations
287
Asymptotic behavior in fully nonlinear equations
337
Spectrum and resolvent
399
Bibliography
411
Index
423
Copyright

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A szerzőről (1995)

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

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