On \(m\)-accretive Schrödinger operators in \(L^{p}\)-spaces on manifolds of bounded geometry
The paper deals with Schrödinger-type operators \(H=\Delta_M+V,\) where \(\Delta_M\) is the scalar Laplacian over the manifold \((M,g)\) of bounded geometry, and \(V\) is a nonnegative locally integrable function on \(M.\) Sufficient conditions are obtained for \(H\) in order to have \(m\)-accretive realization in the space \(L^p(M)\) with \(1<p<+\infty.\) The techniques used rely on the Kato inequality and the \(L^p\)-theory of elliptic operators on Riemannian manifolds.
scientific article; zbMATH DE number 5072982
scientific article