We consider the second order Cauchy problem for the damped Kirchhoff equation depending on a small parameter and the corresponding first order limit problem. We prove global-in-time estimates for the difference of solutions of the two problems provided that the nonlinear term satisfies some monotonicity condition.
Hyperbolic-parabolic singular perturbation for mildly degenerate Kirchhoff equations: global in time error estimates
GHISI, MARINA;GOBBINO, MASSIMO
2009-01-01
Abstract
We consider the second order Cauchy problem for the damped Kirchhoff equation depending on a small parameter and the corresponding first order limit problem. We prove global-in-time estimates for the difference of solutions of the two problems provided that the nonlinear term satisfies some monotonicity condition.File in questo prodotto:
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