Higher-order L^p asymptotic profiles for the Hardy heat equation are obtained from the small-argument expansion of the modified Bessel function in the radial kernel, with matching remainder decay rates.
N.; Kalf, H.,The Bessel differential equation and the Hankel transform, Journal of Computational and Applied Mathematics208(2007), 3–19
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$L^p$-Asymptotic Profiles for the Heat Equation with a Hardy Potential
Higher-order L^p asymptotic profiles for the Hardy heat equation are obtained from the small-argument expansion of the modified Bessel function in the radial kernel, with matching remainder decay rates.