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;
2010-01-01
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.File in questo prodotto:
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