On centre subspace behaviour in thin flm equations
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🧮 math.AP
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absorptionbehaviourequationlogarithmicthinadmitsasymptoticsasymptpotic
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It is shown that the fourth-order parabolic thin film equation with critical absorption admits the large time behaviour, where special logarithmic perturbations enter the standard source-type asymptotics. Such asymptpotic phenomena on existence of logarithmic factors are known for semilinear heat equation with absorption since the 1980s.
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