$G$-convergence of periodic parabolic operators with a small parameter by the time derivative

• Date: 1993
• Main Authors: Sidenko, N. R., Сиденко, Н. Р.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5840
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In this paper, we consider a sequence $\mathcal{P}^k$ of divergent parabolic operators of the second order, which are periodic in time with period $T = \text{const}$, and a sequence $\mathcal{P}^k_{\psi}$ of shifts of these operators by an arbitrary periodic vector function $ \psi \in X = \{L^2((0,...