Heat equation solutions on hyperbolic space H^d converge at sharp rates to non-universal asymptotic profiles that remember the initial mass distribution, obtained by treating time-dependent entropy minimizers as profiles.
Lp asymptotics for the heat equation on symmetric spaces for non-symmetric solutions.International Mathematics Research Notices, 2025(7):26
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Sharp asymptotic behaviour of symmetric and non-symmetric solutions of the Heat Equation in the Hyperbolic Space
Heat equation solutions on hyperbolic space H^d converge at sharp rates to non-universal asymptotic profiles that remember the initial mass distribution, obtained by treating time-dependent entropy minimizers as profiles.