Levi conditions to the Gevrey well-posedness for hyperbolic operators of higher order

• Autores: Haruhisa Ishida
• Localización: Journal of mathematics of Kyoto University, ISSN 0023-608X, Vol. 49, Nº 1, 2009, págs. 173-191
• Idioma: inglés
• DOI: 10.1215/kjm/1248983035
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• Resumen

  • We consider a class of linear higher order hyperbolic equations with a single degenerate point. We give sufficient conditions in order for the Cauchy problem to be well-posed in Gevrey classes and in the $C^\infty$ class.