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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Est. Packaging Dimensions: Length: 9.3" Width: 6.2" Height: 1.1" Weight: 1.4 lbs.
Release Date Mar 27, 1995
Publisher Birkhäuser Basel
ISBN 3764351144 ISBN13 9783764351144
Availability 78 units. Availability accurate as of Jan 16, 2017 08:37.
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More About Herbert Amann
Herbert Amann has an academic affiliation as follows - University of Zurich.