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Special auxiliary tools

Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 153)

Abstract

In evolution problems, one scalar variable, denoted by t and having a meaning of time, takes a special role, which is also reflected by mathematical analysis. In particular, here we first present a few useful assertions about spaces of abstract functions on a “time” interval I := [0, T ], introduced already in Section 1.5, but now possessing additionally derivatives with respect to time. Always, T will denote a fixed finite time horizon.

Keywords

Banach Space Evolution Problem Convex Space Lebesgue Dominate Convergence Theorem Continuous Embedding 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag Basel 2005

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