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Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory (Monographs in Mathematics) [Hardcover]

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Item description for Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory (Monographs in Mathematics) by Herbert Amann...

This treatise gives an exposition of the functional analytical approach to quasilinear parabolic evolution equations, developed to a large extent by the author during the last 10 years. This approach is based on the theory of linear nonautonomous parabolic evolution equations and on interpolation-extrapolation techniques. It is the only general method that applies to noncoercive quasilinear parabolic systems under nonlinear boundary conditions.

The present first volume is devoted to a detailed study of nonautonomous linear parabolic evolution equations in general Banach spaces. It contains a careful exposition of the constant domain case, leading to some improvements of the classical Sobolevskii-Tanabe results. It also includes recent results for equations possessing constant interpolation spaces. In addition, systematic presentations of the theory of maximal regularity in spaces of continuous and Hlder continuous functions, and in Lebesgue spaces, are given. It includes related recent theorems in the field of harmonic analysis in Banach spaces and on operators possessing bounded imaginary powers. Lastly, there is a complete presentation of the technique of interpolation-extrapolation spaces and of evolution equations in those spaces, containing many new results.

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Item Specifications...

Pages   380
Est. Packaging Dimensions:   Length: 9.3" Width: 6.2" Height: 1.1"
Weight:   1.4 lbs.
Binding  Hardcover
Release Date   Mar 27, 1995
Publisher   Birkhäuser Basel
ISBN  3764351144  
ISBN13  9783764351144  

Availability  78 units.
Availability accurate as of Oct 23, 2016 09:58.
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More About Herbert Amann

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1Books > Special Features > New & Used Textbooks > Sciences > Mathematics
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > General
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Mathematical Analysis
4Books > Subjects > Science > Mathematics > Applied > General
5Books > Subjects > Science > Mathematics > General
6Books > Subjects > Science > Mathematics > Mathematical Analysis

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