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primary 58j50

Proceedings of the Edinburgh Mathematical Society (1)

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ON $m$-ACCRETIVE SCHRÖDINGER OPERATORS IN $L^1$-SPACES ON MANIFOLDS OF BOUNDED GEOMETRY
Ognjen Milatovic
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 51 / Issue 1 / February 2008

Published online by Cambridge University Press:

04 February 2008, pp. 215-227
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Let $(M,g)$ be a manifold of bounded geometry with metric $g$. We consider a Schrödinger-type differential expression $H=\Delta_M+V$, where $\Delta_M$ is the scalar Laplacian on $M$ and $V$ is a non-negative locally integrable function on $M$. We give a sufficient condition for $H$ to have an $m$-accretive realization in the space $L^1(M)$.špace{-4pt}