Local Time Decay for a Nonlinear Beam Equation

J. E. Lin

doi:maa/1118850850

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Home > Journals > Methods Appl. Anal. > Volume 11 > Issue 1 > Article

March 2004 Local Time Decay for a Nonlinear Beam Equation

J. E. Lin

Methods Appl. Anal. 11(1): 065-068 (March 2004).

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Abstract

Using the Morawetz' Radial Identity, we show that the local energy of a solution is integrable in time and the local L² norm of the solution approaches zero as time approaches the infinity for a nonlinear beam equation with the spatial dimension > 5.