Article contents
Trend to spatial homogeneity for solutions to semilinear damped wave equations
Published online by Cambridge University Press: 14 November 2011
Synopsis
The semilinear damped wave equations
subject to homogeneous Neumann boundary conditions, admit spatially homogeneous solutions (i.e. u(x, t) = u(t)). In order that every solution tends to a spatially homogeneous one, we look for conditions on the coefficients a and d, and on the Lipschitz constant of f with respect to u.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 105 , Issue 1 , 1987 , pp. 117 - 126
- Copyright
- Copyright © Royal Society of Edinburgh 1987
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