Pointwise convergence for the heat equation on tori ${\mathbb{T}}^n$ and waveguide manifold ${\mathbb{T}}^n\times {\mathbb{R}}^m$

Divyang G. Bhimani, Rupak K. Dalai

We completely characterize the weighted Lebesgue spaces on the torus ${\mathbb{T}}^n$ and waveguide manifold ${\mathbb{T}}^n\times {\mathbb{R}}^m$ for which the solutions of the heat equat…