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.
Citation
J. E. Lin. "Local Time Decay for a Nonlinear Beam Equation." Methods Appl. Anal. 11 (1) 065 - 068, March 2004.
Information
Published: March 2004
First available in Project Euclid: 15 June 2005
zbMATH: 1210.35251
MathSciNet: MR2128351
Rights: Copyright © 2004 International Press of Boston