Abstract
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 t ∈ J, where (E 0, E 1) 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 t ↦ A(t) are needed.
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© 1995 Birkhäuser Verlag Basel
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Amann, H. (1995). Variable Domains. In: Linear and Quasilinear Parabolic Problems. Monographs in Mathematics, vol 89. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9221-6_5
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DOI: https://doi.org/10.1007/978-3-0348-9221-6_5
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9950-5
Online ISBN: 978-3-0348-9221-6
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