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Currently displaying 1 – 4 of 4

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On $m$ -sectorial Schrödinger-type operators with singular potentials on manifolds of bounded geometry

Ognjen Milatovic — 2004

Commentationes Mathematicae Universitatis Carolinae

We consider a Schrödinger-type differential expression $H_{V} = \nabla^{*} \nabla + V$ , where $\nabla$ is a $C^{\infty}$ -bounded Hermitian connection on a Hermitian vector bundle $E$ of bounded geometry over a manifold of bounded geometry $(M, g)$ with metric $g$ and positive $C^{\infty}$ -bounded measure $d μ$ , and $V$ is a locally integrable section of the bundle of endomorphisms of $E$ . We give a sufficient condition for $m$ -sectoriality of a realization of $H_{V}$ in $L^{2} (E)$ . In the proof we use generalized Kato’s inequality as well as a result on the positivity of $u \in L^{2} (M)$ satisfying the...

On $m$ -accretive Schrödinger-type operators with singular potentials on manifolds of bounded geometry.

Milatovic, Ognjen — 2003

International Journal of Mathematics and Mathematical Sciences

Self-adjointness of Schrödinger-type operators with singular potentials on manifolds of bounded geometry.

Milatovic, Ognjen — 2003

Electronic Journal of Differential Equations (EJDE) [electronic only]

A property of Sobolev spaces on complete Riemannian manifolds.

Milatovic, Ognjen — 2005

Electronic Journal of Differential Equations (EJDE) [electronic only]

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