On convergence rate estimates for approximations of solution operators for linear non-autonomous evolution equations
https://doi.org/10.17586/2220-8054-2017-8-2-202-215
Аннотация
We improve some recent estimates of the rate of convergence for product approximations of solution operators for linear non-autonomous Cauchy problem. The Trotter product formula approximation is proved to converge to the solution operator in the operator-norm. We estimate the rate of convergence of this approximation. The result is applied to diffusion equation perturbed by a time-dependent potential.
Об авторах
H. Neidhardt
WIAS Berlin
Германия
Германия
A. Stephan
Humboldt Universitat zu Berlin Institut fur Mathematik
Германия
Германия
V. Zagrebnov
Universite d’Aix-Marseille and Institut de Mathematiques de Marseille (I2M)
Франция
Франция
Список литературы
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Рецензия
Для цитирования:
, , . Наносистемы: физика, химия, математика. 2017;8(2):202-215. https://doi.org/10.17586/2220-8054-2017-8-2-202-215
For citation:
Neidhardt H., Stephan A., Zagrebnov V.A. On convergence rate estimates for approximations of solution operators for linear non-autonomous evolution equations. Nanosystems: Physics, Chemistry, Mathematics. 2017;8(2):202-215. https://doi.org/10.17586/2220-8054-2017-8-2-202-215
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