Cauchy Problem in the Gevrey Classes

Lecture Notes in Mathematics - Cauchy Problem for Differential Operators with Double Characteristics ◽

10.1007/978-3-319-67612-8_7 ◽

2017 ◽

pp. 149-179

Author(s):

Tatsuo Nishitani

Keyword(s):

Cauchy Problem ◽

Gevrey Classes

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On the existence in Gevrey classes of local solutions to the Cauchy problem for nonlinear hyperbolic systems with Hölder continuous coefficients

ANNALI DELL UNIVERSITA DI FERRARA ◽

10.1007/s11565-006-0023-4 ◽

2006 ◽

Vol 52 (2) ◽

pp. 303-315

Author(s):

Kunihiko Kajitani ◽

Yasuo Yuzawa

Keyword(s):

Cauchy Problem ◽

Hyperbolic Systems ◽

Hölder Continuous ◽

Gevrey Classes ◽

The Cauchy Problem ◽

Local Solutions ◽

Nonlinear Hyperbolic Systems

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Local solution of Cauchy problem for nonlinear hyperbolic systems in Gevrey classes

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1525852966 ◽

1983 ◽

Vol 12 (3) ◽

pp. 434-460 ◽

Cited By ~ 20

Author(s):

Kunihiko KAJITANI

Keyword(s):

Cauchy Problem ◽

Hyperbolic Systems ◽

Local Solution ◽

Gevrey Classes ◽

Nonlinear Hyperbolic Systems

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Cauchy problem in Gevrey classes for non-strictly hyperbolic equations of second order

Journal of Mathematics of Kyoto University ◽

10.1215/kjm/1250522713 ◽

1977 ◽

Vol 17 (3) ◽

pp. 513-531

Author(s):

Katsuju Igari

Keyword(s):

Cauchy Problem ◽

Hyperbolic Equations ◽

Second Order ◽

Gevrey Classes

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Microlocality of the cauchy problem in inhomogeneous gevrey classes

Communications in Partial Differential Equations ◽

10.1080/03605308608820468 ◽

1986 ◽

Vol 11 (13) ◽

pp. 1379-1437 ◽

Cited By ~ 3

Author(s):

Otto Liess

Keyword(s):

Cauchy Problem ◽

Gevrey Classes ◽

The Cauchy Problem

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CORRECTNESS OF THE CAUCHY PROBLEM IN GEVREY CLASSES FOR NONSTRICTLY HYPERBOLIC OPERATORS

Mathematics of the USSR-Sbornik ◽

10.1070/sm1975v025n03abeh002213 ◽

1975 ◽

Vol 25 (3) ◽

pp. 365-387 ◽

Cited By ~ 13

Author(s):

V J Ivriĭ

Keyword(s):

Cauchy Problem ◽

Gevrey Classes ◽

Hyperbolic Operators ◽

The Cauchy Problem

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Conditions for correctness in Gevrey classes of the Cauchy problem for weakly hyperbolic equations

Siberian Mathematical Journal ◽

10.1007/bf00967862 ◽

1977 ◽

Vol 17 (3) ◽

pp. 422-435 ◽

Cited By ~ 19

Author(s):

V. Ya. Ivrii

Keyword(s):

Cauchy Problem ◽

Hyperbolic Equations ◽

Gevrey Classes ◽

The Cauchy Problem

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Well-posedness of the Cauchy problem for some weakly hyperbolic operators in Gevrey classes

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.61.66 ◽

1985 ◽

Vol 61 (3) ◽

pp. 66-69

Author(s):

Shigeharu Itoh

Keyword(s):

Cauchy Problem ◽

Well Posedness ◽

Gevrey Classes ◽

Hyperbolic Operators ◽

The Cauchy Problem

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On the cauchy problem for hyperbolic equations in C∞ and gevrey classes

Lecture Notes in Mathematics - Partial Differential Equations ◽

10.1007/bfb0100793 ◽

1988 ◽

pp. 197-215 ◽

Cited By ~ 1

Author(s):

Sigeru Mizohata

Keyword(s):

Cauchy Problem ◽

Hyperbolic Equations ◽

Gevrey Classes ◽

The Cauchy Problem

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CAUCHY PROBLEM IN INHOMOGENEOUS GEVREY CLASSES

Progress in Analysis ◽

10.1142/9789812794253_0118 ◽

2003 ◽

Cited By ~ 1

Author(s):

D. CALVO

Keyword(s):

Cauchy Problem ◽

Gevrey Classes

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Propagation of wave front sets of solutions of the Cauchy problem for a hyperbolic system in Gevrey classes

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.61.27 ◽

1985 ◽

Vol 61 (2) ◽

pp. 27-30

Author(s):

Yoshinori Morimoto ◽

Kazuo Taniguchi

Keyword(s):

Cauchy Problem ◽

Wave Front ◽

Hyperbolic System ◽

Gevrey Classes ◽

The Cauchy Problem ◽

Wave Front Sets

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