Displaying similar documents to “Global solvability for the degenerate Kirchhoff equation”

Propagation of analyticity of solutions to the Cauchy problem for Kirchhoff type equations

Kunihiko Kajitani (2000)

Journées équations aux dérivées partielles

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We shall give the local in time existence of the solutions in Gevrey classes to the Cauchy problem for Kirhhoff equations of p -laplacian type and investigate the propagation of analyticity of solutions for real analytic deta. When p = 2 , his equation as the global real analytic solution for the real analytic initial data.

Analytic solutions to nonlocal abstract equations

Marina Ghisi (2003)

Bollettino dell'Unione Matematica Italiana

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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.