Abstract:
Persistence of spatial analyticity is studied for solution of the beam equation utt +
(m + Δ2) u + |u|
p−1u = 0 on Rn × R. In particular, for a class of analytic initial
data with a uniform radius of analyticity σ0, we obtain an asymptotic lower bound
σ(t) c/√t on the uniform radius of analyticity σ(t) of solution u(·,t), as t → ∞.
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