Propagation of analytic and Gevrey regularity for a class of semi-linear weakly hyperbolic equations

Massimo Cicognani; Luisa Zanghirati

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Well-posedness in the Gevrey classes of the Cauchy problem for a non-strictly hyperbolic equation with coefficients depending on time

F. Colombini, E. Jannelli, S. Spagnolo (1983)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On the wellposedness in the Gevrey classes of the Cauchy problem for weakly hyperbolic equations whose coefficients are Hölder continuous in $t$ and degenerate in $t = T$

Tamotu Kinoshita (1998)

Rendiconti del Seminario Matematico della Università di Padova

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Fourier integral operators of infinite order on $𝒟_{L^{2}}^{\{σ\}} (𝒟_{L^{2}}^{{\{σ\}}^{'}})$ with an application to a certain Cauchy problem

Rossella Agliardi (1990)

Rendiconti del Seminario Matematico della Università di Padova

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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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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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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.

Łojasiewicz inequalities for sets definable in the structure $ℝ_{\exp}$

Ta Lê Loi (1995)

Annales de l'institut Fourier

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We consider some variants of Łojasiewicz inequalities for the class of subsets of Euclidean spaces definable from addition, multiplication and exponentiation : Łojasiewicz-type inequalities, global Łojasiewicz inequalities with or without parameters. The rationality of Łojasiewicz’s exponents for this class is also proved.

Displaying similar documents to “Propagation of analytic and Gevrey regularity for a class of semi-linear weakly hyperbolic equations”

Well-posedness in the Gevrey classes of the Cauchy problem for a non-strictly hyperbolic equation with coefficients depending on time

On the wellposedness in the Gevrey classes of the Cauchy problem for weakly hyperbolic equations whose coefficients are Hölder continuous in t and degenerate in t = T

Fourier integral operators of infinite order on 𝒟 L 2 σ 𝒟 L 2 σ ' with an application to a certain Cauchy problem

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

Some results of Gevrey and analytic regularity for semilinear weakly hyperbolic equations of Oleinik type

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

Łojasiewicz inequalities for sets definable in the structure ℝ exp

On the wellposedness in the Gevrey classes of the Cauchy problem for weakly hyperbolic equations whose coefficients are Hölder continuous in $t$ and degenerate in $t = T$

Fourier integral operators of infinite order on $𝒟_{L^{2}}^{\{σ\}} (𝒟_{L^{2}}^{{\{σ\}}^{'}})$ with an application to a certain Cauchy problem

Łojasiewicz inequalities for sets definable in the structure $ℝ_{\exp}$