Generation results for vector-valued elliptic operators with unbounded coefficients in L^p spaces
We consider a class of vector-valued elliptic operators with unbounded coefficients, coupled up to the first-order, in the Lebesgue space L^p(R^d;R^m) with p in (1,\infty). Sufficient conditions to prove generation results of an analytic C_0-semigroup T(t), together with a characterization of the do...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We consider a class of vector-valued elliptic operators with unbounded
coefficients, coupled up to the first-order, in the Lebesgue space L^p(R^d;R^m)
with p in (1,\infty). Sufficient conditions to prove generation results of an
analytic C_0-semigroup T(t), together with a characterization of the domain of
its generator, are given. Some results related to the hypercontractivity and
the ultraboundedness of the semigroup are also established. |
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| DOI: | 10.48550/arxiv.2101.01738 |