Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15109
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 |
URI: | http://hdl.handle.net/10773/15109 |
DOI: | 10.1007/s00025-015-0474-y |
ISSN: | 1422-6383 |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
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File | Description | Size | Format | |
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artigo13_VF.pdf | 417.26 kB | Adobe PDF | View/Open |
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