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

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$L^{p}$ -estimates for hyperbolic operators applications to $□ u = u^{k}$

I. Peral, J. C. Peral, M. Walias (1982)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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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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Viscous approach for Linear Hyperbolic Systems with Discontinuous Coefficients

Bruno Fornet (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

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We introduce small viscosity solutions of hyperbolic systems with discontinuous coefficients accross the fixed noncharacteristic hypersurface ${x_{d} = 0} .$ Under a geometric stability assumption, our first result is obtained, in the multi-D framework, for piecewise smooth coefficients. For our second result, the considered operator is $𝔻_{t} + a (x) 𝔻_{x},$ with $s i g n (x a (x)) > 0$ (expansive case not included in our first result), thus resulting in an infinity of weak solutions. Proving that this problem is uniformly Evans-stable, we...

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

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Linear abstract integro-differential equations of hyperbolic type in Hilbert spaces

G. Da Prato, M. Iannelli (1980)

Rendiconti del Seminario Matematico della Università di Padova

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Propagation of analyticity of the solutions to the Cauchy problem for nonlinear symmetrizable systems

Kunihiko Kajitani, Kaoru Yamaguti (1999)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Displaying similar documents to “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 ”

L p -estimates for hyperbolic operators applications to □ u = u k

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

Viscous approach for Linear Hyperbolic Systems with Discontinuous Coefficients

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

Linear abstract integro-differential equations of hyperbolic type in Hilbert spaces

Propagation of analyticity of the solutions to the Cauchy problem for nonlinear symmetrizable systems

Displaying similar documents to “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 $t = T$ ”

$L^{p}$ -estimates for hyperbolic operators applications to $□ u = u^{k}$