On a weakly hyperbolic equation with a term of order zero

Nicola Orrù

Displaying similar documents to “On a weakly hyperbolic equation with a term of order zero”

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

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We prove that the Cauchy problem for a class of hyperbolic equations with non-Lipschitz coefficients is well-posed in $𝒞^{\infty}$ and in Gevrey spaces. Some counter examples are given showing the sharpness of these results.

Small analytic solutions to nonlinear weakly hyperbolic systems

Piero D&#039;Ancona, Sergio Spagnolo (1995)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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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

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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.

On a weakly hyperbolic quasilinear mixed problem of second order

Piero d&#039;Ancona, Mariagrazia Di Flaviano (2001)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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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

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A sufficient condition for existence of real analytic solutions of P.D.E. with constant coefficients, in open sets of $ℝ^{2}$

Giuseppe Zampieri (1980)

Rendiconti del Seminario Matematico della Università di Padova

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Displaying similar documents to “On a weakly hyperbolic equation with a term of order zero”

Well-posedness of the Cauchy problem for a hyperbolic equation with non-Lipschitz coefficients

Small analytic solutions to nonlinear weakly hyperbolic systems

The Cauchy problem for hyperbolic systems with Hölder continuous coefficients with respect to the time variable

On a weakly hyperbolic quasilinear mixed problem of second order

The geometric optics for a class of hyperbolic second order operators with Hölder continuous coefficients with respect to time

A sufficient condition for existence of real analytic solutions of P.D.E. with constant coefficients, in open sets of ℝ 2

A sufficient condition for existence of real analytic solutions of P.D.E. with constant coefficients, in open sets of $ℝ^{2}$