On convergence rate estimates for approximations of solution operators for linear non-autonomous evolution equations
Hagen Neidhardt, Andreas Stephan, Valentin Anatol'evich Zagrebnov · Nanosystems Physics Chemistry Mathematics · 2017
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.