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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.45 (2013)
  6. On a coefficient concerning an ill-posed Cauchy problem and the singularity detection with the wavelet transform
 
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On a coefficient concerning an ill-posed Cauchy problem and the singularity detection with the wavelet transform

Fukuda, Naohiro
•
Kinoshita, Tamotu
2013
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ISSN
0049-4704
http://hdl.handle.net/10077/9603
  • Article

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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
45 (2013)
Subjects
  • weakly hyperbolic equ...

  • ill-posed Cauchy prob...

  • Gevrey classes

  • wavelet transform

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.
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