Identifiability, stability and reconstruction results of point sources by boundary measurements in heteregeneous trees

• Autores: Serge Nicaise, Ouahiba Zaïr
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 16, Nº 1, 2003, págs. 151-178
• Idioma: español
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• Resumen

  • One has two notions of vanishing cycles: the Deligne's general notion and a concrete one used recently in the study of polynomial functions. We compare these two notions which gives us in particular a relative connectivity result. We finish with an example of vanishing cycle calculation which shows the difficulty of a good choice of compactification.