Article

Journal of Evolution Equations

, Volume 13, Issue 1, pp 69-87

Open Access This content is freely available online to anyone, anywhere at any time.

Self-similar asymptotics of solutions to heat equation with inverse square potential

  • Dominika PilarczykAffiliated withInstytut Matematyczny, Uniwersytet Wrocławski Email author 

Abstract

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.

Keywords

Heat equation singular potential self-similar solutions large-time asymptotics

Mathematics Subject Classification (2000)

35K05 35K15 35B05 35B40