Some results of Gevrey and analytic regularity for semilinear weakly hyperbolic equations of Oleinik type
Renato Manfrin (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Renato Manfrin (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Kunihiko Kajitani (2000)
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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 -laplacian type and investigate the propagation of analyticity of solutions for real analytic deta. When , his equation as the global real analytic solution for the real analytic initial data.
Jan Persson (1976)
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H. Marcinkowska (1971)
Annales Polonici Mathematici
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Gustavo Ponce (1997)
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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.
Michael Christ (1995)
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