Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053586 | Applied Mathematics Letters | 2018 | 7 Pages |
Abstract
We deal with a linear parabolic initial-boundary value problem and its hyperbolic perturbation with a small parameter ε>0 in front of the 2nd order time derivative. We derive bounds for the perturbation error of the orders O(ε) and O(ε) in several norms in dependence with smoothness of data (without a priori conditions on solutions) but for non-smooth coefficients and keeping the free terms in equations as distributions. They essentially complement or improve some previously known bounds. In addition, we discuss regularizations of the initial time derivative.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Boris N. Chetverushkin, Alexander A. Zlotnik,