Variable Domains

Part of the Monographs in Mathematics book series (MMA, volume 89)


So far we have studied the case of ‘constant domains’, that is, we have always assumed that A(t) ∈ \( A(t) \in \mathcal{L}({E_1},{E_0}) \) for tJ, where (E0, E1) is a fixed densely injected Banach couple. In this case the general theory is relatively easy and flexible. In addition, only mild continuity assumptions for the function tA(t) are needed.


Banach Space Cauchy Problem Evolution Operator Variable Domain Interpolation Space 
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Copyright information

© Birkhäuser Verlag Basel 1995

Authors and Affiliations

  1. 1.Institut für MathematikUniversität ZürichZürichSwitzerland

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