The Cauchy problem for hyperbolic operators of strong type

DOI10.1215/S0012-7094-94-07511-XzbMath0826.35066MaRDI QIDQ1341273

Seiichiro Wakabayashi, Tatsuo Nishitani, Kunihiko Kajitani

Publication date: 23 November 1995

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

multiple characteristics\(C^ \infty\) well posedness of the Cauchy problem

Mathematics Subject Classification ID

Degenerate hyperbolic equations (35L80) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items

Geometric transition for a class of hyperbolic operators with double characteristics, A class of Fourier integral operators with complex phase related to the Gevrey classes, HOMOGENEOUS HYPERBOLIC EQUATIONS WITH COEFFICIENTS DEPENDING ON ONE SPACE VARIABLE, On the Cauchy problem for a class of hyperbolic operators with triple characteristics, The Cauchy problem for operators with triple effectively hyperbolic characteristics: Ivrii's conjecture, On the Cauchy problem for \(D_t^{2}-D_xa(t, x)^n D_x\), Analytic Propagation for Nonlinear Weakly Hyperbolic Systems, Strongly hyperbolic systems of maximal rank, On the Cauchy Problem forD_t²-D_xa(t,x)D_xin the Gevrey Class of Orders > 2, Counterexamples to \(C^{\infty}\) well posedness for some hyperbolic operators with triple characteristics

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