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http://hdl.handle.net/10077/9603| Title: | On a coefficient concerning an ill-posed Cauchy problem and the singularity detection with the wavelet transform | Authors: | Fukuda, Naohiro Kinoshita, Tamotu |
Keywords: | weakly hyperbolic equations; ill-posed Cauchy problem; Gevrey classes; wavelet transform | Issue Date: | 2013 | Publisher: | EUT Edizioni Università di Trieste | Source: | Naohiro Fukuda and Tamotu Kinoshita, "On a coefficient concerning an ill-posed Cauchy problem and the singularity detection with the wavelet transform", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 45 (2013), pp. 97–121. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 45 (2013) |
Abstract: | We study the Cauchy problem for 2nd order weakly hyperbolic equations. F. Colombini, E. Jannelli and S. Spagnolo showed a coefficient degenerating at an infinite number of points, with which the Cauchy problem is ill-posed Gevrey classes. Moreover, we olso report numerical results of the singularity detection with wavelet trasform for coefficient functions. | URI: | http://hdl.handle.net/10077/9603 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.45 (2013) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Fukuda_Kinoshita_RIMUT_45.pdf | 921.12 kB | Adobe PDF |  View/Open |
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