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|Title:||Maximum principle for the regularized Schrödinger operator|
|Author:||KrauBhar, R. S.|
Rodrigues, M. M.
Time dependent operators
Boundary problems on manifolds
|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.|
|Appears in Collections:||CIDMA - Artigos|
CHAG - Artigos
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