Propagation of analytic and Gevrey regularity for a class of semi-linear weakly hyperbolic equations
Massimo Cicognani, Luisa Zanghirati (1995)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Displaying similar documents to “Well-posedness in the Gevrey classes of the Cauchy problem for a non-strictly hyperbolic equation with coefficients depending on time”
Propagation of analytic and Gevrey regularity for a class of semi-linear weakly hyperbolic equations
On the wellposedness in the Gevrey classes of the Cauchy problem for weakly hyperbolic equations whose coefficients are Hölder continuous in and degenerate in
Tamotu Kinoshita (1998)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Well-posedness of the Cauchy problem for a hyperbolic equation with non-Lipschitz coefficients
Ferruccio Colombini, Daniele del Santo, Tamotu Kinoshita (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
We prove that the Cauchy problem for a class of hyperbolic equations with non-Lipschitz coefficients is well-posed in and in Gevrey spaces. Some counter examples are given showing the sharpness of these results.
The geometric optics for a class of hyperbolic second order operators with Hölder continuous coefficients with respect to time
Massimo Cicognani (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Fourier integral operators of infinite order on with an application to a certain Cauchy problem
Rossella Agliardi (1990)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
The Cauchy problem for hyperbolic systems with Hölder continuous coefficients with respect to the time variable
Kunihiko Kajitani, Yasuo Yuzawa (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
We discuss the local existence and uniqueness of solutions of certain nonstrictly hyperbolic systems, with Hölder continuous coefficients with respect to time variable. We reduce the nonstrictly hyperbolic systems to the parabolic ones and by use of the and the Banach scale method we construct a semi-group which gives a representation of the solution to the Cauchy problem.