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arXiv · 2006.02939

Locality and Domination of Semigroups

Khalid Akhlil
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Abstract

We characterize all semigroups $(T(t))_{t\geq0}$ on $L^2(\Omega)$ sandwiched between Dirichlet and Neumann ones, i.e.: \begin{equation*}\label{eq:san} e^{t\Delta_D}\leq T(t)\leq e^{t\Delta_N}\quad,\text{for all }t\geq0 \end{equation*} in the positive operators sense. The proof uses the well-known Beurling-Deny and Lejan formula to drop the locality assumption made usually on the form associated with $(T(t))_{t\geq 0}$.

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Khalid Akhlil. 2020-06-04. Locality and Domination of Semigroups. https://doi.org/10.1007/s00025-018-0822-9

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