The paper “Clean extensions for inertial manifolds of semilinear parabolic equations“, co-authored by Anna Kostianko (Imperial Faculty London) and Sergey Zelik, has been accepted for publication within the Journal “Evaluation and PDEs“. The paper is dedicated to a complete research of smoothness of inertial manifolds for summary semilinear parabolic PDEs. The category of equations and most important theorem are proven within the screenshot beneath. The proof is strongly primarily based on the Whitney extension theorem. A hyperlink to the ultimate type arXiv model is right here.