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Irregularities of semilinear hyperbolic equations
Author(s) -
Uchikoshi Keisuke
Publication year - 2005
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310243
Subject(s) - mathematics , hyperbolic partial differential equation , cauchy distribution , pure mathematics , initial value problem , mathematical analysis , partial differential equation
Abstract We consider local solvability of semilinear hyperbolic Cauchy problems for Gevrey functions. To obtain a general result, we define the notion of irregularities, and we give a criterion for the local solvability. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)