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 HAlder 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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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 HAlder 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.
Imprint | Birkhauser Verlag AG |
Country of origin | Switzerland |
Series | Monographs in Mathematics, 89 |
Release date | March 1995 |
Availability | Expected to ship within 12 - 17 working days |
First published | 1995 |
Authors | Herbert Amann |
Dimensions | 235 x 155 x 22mm (L x W x T) |
Format | Hardcover |
Pages | 338 |
Edition | 1995 ed. |
ISBN-13 | 978-3-7643-5114-4 |
Barcode | 9783764351144 |
Categories | |
LSN | 3-7643-5114-4 |