The theorem involving a locally Lipschitz continuous function is proven with a global-in-time uniform convergence result for an abstract setting of the initial-boundary value problem. The boundary value problem is a setting for the hyperbolic PDE with a nonlocal nonlinearity of Kirchhoff type. This equation is a model for the damped small transversal vibrations of an elastic string with fixed endpoints, and uniform density.
Singular perturbation hyperbolic-parabolic for degenerate nonlinear equations of Kirchhoff type
GOBBINO, MASSIMO
2001-01-01
Abstract
The theorem involving a locally Lipschitz continuous function is proven with a global-in-time uniform convergence result for an abstract setting of the initial-boundary value problem. The boundary value problem is a setting for the hyperbolic PDE with a nonlocal nonlinearity of Kirchhoff type. This equation is a model for the damped small transversal vibrations of an elastic string with fixed endpoints, and uniform density.File in questo prodotto:
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