We are interested in the study of the global non-existence of solutions of hyperbolic nonlinear problems, governed by the p-Kirchhoff operator, under dynamic boundary conditions, when p > p_n with p_n < 2. The systems involve nonlinear external forces and may be affected by a perturbation. Several models already treated in the literature are covered in special subcases, and concrete examples are provided for the source term f and the external nonlinear boundary damping Q.

Kirchhoff systems with dynamic boundary conditions

AUTUORI, GIUSEPPINA;
2010

Abstract

We are interested in the study of the global non-existence of solutions of hyperbolic nonlinear problems, governed by the p-Kirchhoff operator, under dynamic boundary conditions, when p > p_n with p_n < 2. The systems involve nonlinear external forces and may be affected by a perturbation. Several models already treated in the literature are covered in special subcases, and concrete examples are provided for the source term f and the external nonlinear boundary damping Q.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11566/301579
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