Some remarks on global solutions to nonlinear dissipative mildly degenerate Kirchhoff strings
Analytic solutions to nonlocal abstract equations
In this paper we study the problem of existence of global solutions for some classes of abstract equations, that generalize some type of Klein-Gordon equations, with nonlinear nonlocal terms of Kirchhoff type. We find some conditions that guarantee the existence of such solutions whether in presence or in absence of a conserved energy.
Unstable simple modes for a class of Kirchhoff equations
Global solutions to some nonlinear dissipative mildly degenerate Kirchhoff equations.
Large energy simple modes for a class of Kirchhoff equations.
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