Gevrey Well-Posedness of an Abstract Cauchy Problem of Weakly Hyperbolic Type
Author(s) -
Piero DʼAncona
Publication year - 1988
Publication title -
publications of the research institute for mathematical sciences
Language(s) - French
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1195175035
Subject(s) - mathematics , hilbert space , cauchy problem , hyperbolic partial differential equation , mathematical analysis , type (biology) , initial value problem , class (philosophy) , cauchy distribution , variable (mathematics) , cauchy's convergence test , space (punctuation) , pure mathematics , cauchy boundary condition , partial differential equation , boundary value problem , ecology , linguistics , philosophy , artificial intelligence , computer science , biology , free boundary problem
On considere un probleme de Cauchy d'ordre 2 general de type hyperbolique, avec des coefficients continus de Holder pour la variable de temps et de classe de Gevrey dans les variables d'espace. On demontre des resultats d'existence globale et locale
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