Self-similar asymptotics of solutions to heat equation with inverse square potential
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- Pilarczyk, D. J. Evol. Equ. (2013) 13: 69. doi:10.1007/s00028-012-0169-8
We show that the large-time behavior of solutions to the Cauchy problem for the linear heat equation with the inverse square potential is described by explicit self-similar solutions.
KeywordsHeat equationsingular potentialself-similar solutionslarge-time asymptotics
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