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YCor
YCor
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Is there any literature corresponding to one or two-parameter semigroups such that ege.g. $T(t) \in \mathcal{L}(X(t))$ or $T(s,t) \in \mathcal{L}(X(t),X(s))$ for parameterized Banach spaces $X(t)$???

I have only seen the case where $X(t) \equiv X$ (i.e. there is only one Banach space).

This may be useful for PDE problems where there are moving domains.

Is there any literature corresponding to one or two-parameter semigroups such that eg. $T(t) \in \mathcal{L}(X(t))$ or $T(s,t) \in \mathcal{L}(X(t),X(s))$ for parameterized Banach spaces $X(t)$???

I have only seen the case where $X(t) \equiv X$ (i.e. there is only one Banach space).

This may be useful for PDE problems where there are moving domains.

Is there any literature corresponding to one or two-parameter semigroups such that e.g. $T(t) \in \mathcal{L}(X(t))$ or $T(s,t) \in \mathcal{L}(X(t),X(s))$ for parameterized Banach spaces $X(t)$?

I have only seen the case where $X(t) \equiv X$ (i.e. there is only one Banach space).

This may be useful for PDE problems where there are moving domains.

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edit approved Oct 6, 2014 at 0:28
Paul
edit approved Oct 6, 2014 at 0:28
Paul
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C_0 $C_0$ semigroups on parameterized Banach spaces or moving domains

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assa888
assa888
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C_0 semigroups on parameterized Banach spaces or moving domains

Is there any literature corresponding to one or two-parameter semigroups such that eg. $T(t) \in \mathcal{L}(X(t))$ or $T(s,t) \in \mathcal{L}(X(t),X(s))$ for parameterized Banach spaces $X(t)$???

I have only seen the case where $X(t) \equiv X$ (i.e. there is only one Banach space).

This may be useful for PDE problems where there are moving domains.