Paper of Sergey Zelik on vector reaction-diffusion equations published in Mathematische Nachrichten

The paper “Nonconcentration phenomenon for one-dimensional reaction–diffusion systems with mass dissipation“, co-authored by Juan Yang (Lanzhou & Graz, Austria), Anna Kostianko (Imperial, Moscow, Zhejiang), Chunyou Sun (Lanzhou), Bao Quoc Tang (Graz, Austria), and Sergey Zelik, has been published in Mathematische Nachrichten. The paper removes an entropy assumption in previous work to successfully obtain global boundedness for a class of vector-valued nonlinear reaction–diffusion equations. The published paper is available open access (link here). The screenshot below shows the setup and key assumptions, leading to the main result (Theorem 1.1 in the paper). Click on image to enlarge.