3 papers
math.AP2026
Maximal regularity and caloric trace estimates in mixed Lebesgue norms for the heat equation
Hui Chen, Su Liang, Tai-Peng Tsai
We study the heat equation in the half-space with nonhomogeneous Dirichlet boundary data. For the caloric extension of the boundary data , we prove maximal regularity estima…
math.AP2026
Remarks on the maximal regularity for parabolic boundary value problems with inhomogeneous data
Hui Chen, Su Liang, Tai-Peng Tsai
Inspired by Ogawa-Shimizu [JEE 2022] and Chen-Liang-Tsai [IMRN 2025] on the second and first order derivative estimates of solution of heat equation in the upper half space with bo…
math.AP2025
The local regularity theory for the Stokes and Navier--Stokes equations near the curved boundary
Hui Chen, Su Liang, Tai-Peng Tsai
In this paper, we study local regularity of the solutions to the Stokes equations near a curved boundary under no-slip or Navier boundary conditions. We extend previous boundary es…