C-spectrality of the Schrödinger operator in Lp spaces

✍ Scribed by R. deLaubenfels; H. Emamirad

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 193 KB
• Volume: 10
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(96)00112-7

✦ Synopsis

In [1], the notions of C-regularized functional calculus and C-regularized scalar operator are defined and their mutual relationship with temperate C-regularized groups is given. In this note, we apply these notions in two ways: first we consider the SchrSdinger operator in LP(f~) with Dirichlet boundary condition, when Q is a bounded domain in 1~ ~. The second application will be the operator --A + V in LP(Rn), when V belongs to the Kato's class of potentials.