Could someone help me with the following problem:

Find all smooth functions u: R x [0, +infinity) ->R with the property that both u and u^n are solutions of the heat equation for some integer n>=2.

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- May 16th 2008, 10:27 AMrugglesHeat Equation
Could someone help me with the following problem:

Find all smooth functions u: R x [0, +infinity) ->R with the property that both u and u^n are solutions of the heat equation for some integer n>=2. - May 20th 2008, 01:42 PMTheEmptySet