Decay of solutions of a degenerate hyperbolic equation

This article studies the asymptotic behavior of solutions to the damped, non-linear wave equation $$ ddot u +gamma dot u -m(|abla u|^2)Delta u = f(x,t),, $$ which is known as degenerate if the greatest lower bound for $m$ is zero, and non-degenerate if the greatest lower bound is positive. For the n...

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Bibliographic Details
Main Author: Julio G. Dix
Format: Article
Language:English
Published: Texas State University 1998-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/1998/21/abstr.html