Approximations of the operator exponential in a periodic diffusion problem with drift
Svetlana Evgenievna Pastukhova · Sbornik Mathematics · 2013
A Cauchy problem for a parabolic diffusion equation with 1-periodic coefficients containing first order terms is studied. For the corresponding semigroup we construct approximations in the -operator norm on sections of order as for or . The spectral method based on the Bloch representation of an operator with periodic coefficients is used. Bibliography: 25 titles.