Smoothing effect for regularized Schrödinger equation on bounded domains

Article type: Research Article

Authors: Aloui, L.

Affiliations: Département de Mathématiques, Faculté des Sciences, de Bizerte et LAMSIN, 1060 Tunis, Tunisia. E-mail: Lassaad.Aloui@fsg.rnu.tn

Note: [] The author is supported by Tunisian Ministry for Scientific Research and Technology, within the LAB-STI 02 program.

Abstract: We prove, under the geometric control condition, a smoothing effect for solutions of a regularized Schrödinger equation on bounded domains with boundary. This result is derived from the resolvent properties.

Keywords: Schrödinger operator, resolvent, smoothing effect

DOI: 10.3233/ASY-2008-0892

Journal: Asymptotic Analysis, vol. 59, no. 3-4, pp. 179-193, 2008