Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843700 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 8 Pages |
Abstract
We establish the existence of a global solution to an initial boundary value problem for the nonlinear anisotropic hyperbolic equation u″−∑i=1n∂∂xi(|∂u∂xi|pi−2∂u∂xi)−Δu′+g(x,u)=f(x,t). Depending on the range of the pipi’s, we derive an exponential and a polynomial decay for the global solution.
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Authors
M. Sango,