Some uniqueness results for degenerate elliptic operators in two variables
Ferruccio Colombini, Daniele Del Santo (1991)
Rendiconti del Seminario Matematico della Università di Padova
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Ferruccio Colombini, Daniele Del Santo (1991)
Rendiconti del Seminario Matematico della Università di Padova
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Alessia Ascanelli (2007)
Rendiconti del Seminario Matematico della Università di Padova
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Giovanni Colombo, Barnabas M. Garay (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Marcello D’Abbicco, Giovanni Taglialatela (2009)
Annales de la faculté des sciences de Toulouse Mathématiques
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We consider hyperbolic systems with time dependent coefficients and size or . We give some sufficient conditions in order the Cauchy Problem to be well-posed in and in Gevrey spaces.
Piero D'Ancona, Sergio Spagnolo (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Björn Birnir, Gustavo Ponce, Nils Svanstedt (1996)
Annales de l'I.H.P. Analyse non linéaire
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Amel Atallah Baraket (2004)
Bollettino dell'Unione Matematica Italiana
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In this paper we prove a local existence theorem for a Cauchy problem associated to a semi linear wave equation with an exponential nonlinearity in two dimension space. In this problem, the first Cauchy data is equal to zero, the second is in , radially symmetric and compactly supported. To prove this theorem, we first show a Moser-Trudinger type inequality for the linear problem and then we use a fixed point method to achieve the proof of the result.