Locality and Domination of Semigroups
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DOI: 10.1007/s00025-018-0822-9
Abstract: We characterize all semigroups $$(T(t))_{t\ge 0}$$(T(t))t≥0 on $$L^2(\Omega )$$L2(Ω) sandwiched between Dirichlet and Neumann ones, i.e.: $$\begin{aligned} e^{t\Delta _D}\le T(t)\le e^{t\Delta _N},\quad \text {for all }t\ge 0 \end{aligned}$$etΔD≤T(t)≤etΔN,for allt≥0in the positive operators sense. The proof… read more here.
Keywords: domination semigroups; locality; dirichlet; locality domination ... See more keywords