Decay of the Solutions of Parabolic Equations with Double Nonlinearity and the Degenerate Absorption Potential

• Date: 2014
• Main Authors: Stepanova, E. V., Степанова, Е. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2114
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the behavior of solutions for the parabolic equation of nonstationary diffusion with double nonlinearity and a degenerate absorption term: $$ {\left({\left| u\right|}^{q-1} u\right)}_t-{\displaystyle \sum_{i=1}^N\frac{\partial }{\partial {x}_i}\left({\left|{\nabla}_x u\right|}^{q-1}\frac{\...