Methods and Applications of Analysis

Volume 11 (2004)

Number 1

Local Time Decay for a Nonlinear Beam Equation

Pages: 65 – 68

DOI: https://dx.doi.org/10.4310/MAA.2004.v11.n1.a5

Author

J. E. Lin

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 \gt 5.

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Published 1 January 2004