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Decay and Growth for a Nonlinear Parabolic
Equation

Sergiu Hart and Benjamin Weiss

**Abstract**

We prove a difference equation analogue for the decay-of-mass result
for the nonlinear parabolic equation
*u*_{t} = Δ*u* +
*μ* |Ñ*u*| when
*μ* < 0,
and a new growth result when
*μ* > 0.