The paper “Smooth extensions for inertial manifolds of semilinear parabolic equations“, co-authored by Anna Kostianko (Imperial College London) and Sergey Zelik, has been accepted for publication in the Journal “Analysis and PDEs“. The paper is devoted to a comprehensive study of smoothness of inertial manifolds for abstract semilinear parabolic PDEs. The class of equations and main theorem are shown in the screenshot below. The proof is strongly based on the Whitney extension theorem. A link to the final form arXiv version is here.