Well posedness in $C^\infty $ for a weakly hyperbolic second order equation

Piero D'Ancona

Displaying similar documents to “Well posedness in $C^{\infty}$ for a weakly hyperbolic second order equation”

Some results of Gevrey and analytic regularity for semilinear weakly hyperbolic equations of Oleinik type

Renato Manfrin (1995)

Rendiconti del Seminario Matematico della Università di Padova

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Unique continuation from Cauchy data in unknown non-smooth domains

Luca Rondi (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We consider a conducting body which presents some (unknown) perfectly insulating defects, such as cracks or cavities, for instance. We perform measurements of current and voltage type on a (known) part of the boundary of the conductor. We prove that, even if the defects are unknown, the current and voltage measurements at the boundary uniquely determine the corresponding electrostatic potential inside the conductor. A corresponding stability result, related to the stability of Neumann...