Sharp asymptotic behaviour of symmetric and non-symmetric solutions of the Heat Equation in the Hyperbolic Space

José Alfredo Cañizo, Alejandro Gárriz, Diego Alfonso Marín

In this work we study the large-time behaviour of solutions of the Heat Equation in the hyperbolic space ${\mathbb{H}}^d$, providing precise speeds of convergence in $L^1$ and $L^\in…