Article Contents
Article Contents

# On the moments of solutions to linear parabolic equations involving the biharmonic operator

• We consider the solutions to Cauchy problems for the parabolic equation $u_\tau +\Delta^2u=0$ in $\mathbb{R}_+\times\mathbb{R}^n$, with fast decay initial data. We study the behavior of their moments. This enables us to give a more precise description of the sign-changing behavior of solutions corresponding to positive initial data.
Mathematics Subject Classification: 35K30.

 Citation:

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