caa a22 4500 397533098 CHVBK 20180308164656.0 cr unu---uuuuu 161202e199512 xx s 000 0 eng 10.1112/jlms/52.3.583 doi (NATIONALLICENCE)oxford-10.1112/jlms/52.3.583 Contractivity Properties of Schrödinger Semigroups on Bounded Domains [Elektronische Daten] [Fabio Cipriani, Gabriele Grillo] We study intrinsic ultracontractivity (IUC) for the Schrödinger operator H = −Δ + V with Dirichlet boundary conditions on bounded domains Ω in Rn. The potential is not assumed either to belong to the Kato class, or to be relatively form-bounded with respect to the Dirichlet Laplacian on Ω. The class of domains considered includes John domains and a class of Hölder domains. We also give an example of a bounded domain Ω on which the Dirichlet Laplacian is not IUC, but on which −Δ + V is IUC for a suitable potential V. © The London Mathematical Society Notes and Papers nationallicence Cipriani Fabio Ruhr-Universität Bochum, Universitätstrasse 150 4630 Bochum 1, Germany aut Grillo Gabriele Dipartimento di Matematica e Informatica, Università di Udine via Zanon 6, 33100 Udine, Italy aut Journal of the London Mathematical Society Oxford University Press 52/3(1995-12), 583-593 0024-6107 52:3<583 1995 52 jlms https://doi.org/10.1112/jlms/52.3.583 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1112/jlms/52.3.583 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cipriani Fabio Ruhr-Universität Bochum, Universitätstrasse 150 4630 Bochum 1, Germany aut NATIONALLICENCE 700 1- Grillo Gabriele Dipartimento di Matematica e Informatica, Università di Udine via Zanon 6, 33100 Udine, Italy aut NATIONALLICENCE 773 0- Journal of the London Mathematical Society Oxford University Press 52/3(1995-12), 583-593 0024-6107 52:3<583 1995 52 jlms Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford