The paper “Smooth extensions for inertial manifolds of semilinear parabolic equations“, co-authored by Anna Kostianko (Zhejiang Normal University) and Sergey Zelik (Surrey, Zhejiang, Keldysh), has been published in the journal “Analysis and PDE“. It is published open access (journal link here, paper link here). The class of PDEs is given below in (3-1), and below that the main result of the paper (Theorem 4.3) is stated.
![](https://blogs.surrey.ac.uk/mathsresearch/wp-content/uploads/sites/11/2024/08/AZ-1.png)
![](https://blogs.surrey.ac.uk/mathsresearch/wp-content/uploads/sites/11/2024/08/AZ-2.png)