Linear and Quasilinear Parabolic Problems is popular PDF and ePub book, written by Herbert Amann in 1995-03-27, it is a fantastic choice for those who relish reading online the Language Arts & Disciplines genre. Let's immerse ourselves in this engaging Language Arts & Disciplines book by exploring the summary and details provided below. Remember, Linear and Quasilinear Parabolic Problems can be Read Online from any device for your convenience.
Linear and Quasilinear Parabolic Problems Book PDF Summary
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 Hölder 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.
Detail Book of Linear and Quasilinear Parabolic Problems PDF
- Author : Herbert Amann
- Release : 27 March 1995
- Publisher : Springer Science & Business Media
- ISBN : 3764351144
- Genre : Language Arts & Disciplines
- Total Page : 688 pages
- Language : English
- PDF File Size : 7,6 Mb
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