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Title: Maximum principle for the regularized Schrödinger operator
Author: KrauBhar, R. S.
Rodrigues, M. M.
Vieira, N.
Keywords: Clifford analysis
Time dependent operators
Schrödinger equation
Günter derivatives
Boundary problems on manifolds
Issue Date: Feb-2016
Publisher: Springer International Publishing
Abstract: In this paper we present analogues of the maximum principle and of some parabolic inequalities for the regularized time-dependent Schrödinger operator on open manifolds using Günter derivatives. Moreover, we study the uniqueness of bounded solutions for the regularized Schrödinger-Günter problem and obtain the corresponding fundamental solution. Furthermore, we present a regularized Schrödinger kernel and prove some convergence results. Finally, we present an explicit construction for the fundamental solution to the Schrödinger-Günter problem on a class of conformally flat cylinders and tori.
Peer review: yes
DOI: 10.1007/s00025-015-0474-y
ISSN: 1422-6383
Appears in Collections:CIDMA - Artigos
CHAG - Artigos

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