On the Lie-Trotter approximation formula

被引：0
作者：
Lemle, Ludovic Dan [1 ,2 ]
机构：
[1] Univ Politehn Timisoara, Dept Elect Engn & Ind IT Hunedoara, Hunedoara, Romania
[2] Lucian Blaga Univ Sibiu, Doctoral Sch Engn & Math Sci, Sibiu, Romania
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2024年 / 437卷
关键词：
Approximation; Lie-Trotter product formula; Quasi-equicontinuousC0-semigroups; Generalized Schrodinger operator; SEMIGROUPS; OPERATORS; L-1-UNIQUENESS;
D O I：
10.1016/j.cam.2023.115466
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper presents a satisfactory version of the Lie-Trotter product formula in the context of the duality between a quasi-equicontinuos C0-semigroup {T(t)}t & GE;0 on a locally convex vector space X endowed with some locally convex Hausdorff topology r and its adjoint {T*(t)}t & GE;0 on the dual space X* endowed with the topology C(X*, X) of uniform convergence on compact subsets of Xr. An application is given for the transition semigroup of the diffusion associated to the generalized Schrodinger operator on L & INFIN;(RN, dx).& COPY; 2023 Elsevier B.V. All rights reserved.
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页数：10
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