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Sibirskii Zhurnal Industrial'noi Matematiki, 2009, Volume 12, Number 4, Pages 51–63 (Mi sjim582)  
The Generalized Cauchy Problem for a Quasilinear System with Two Singularities

A. L. Kazakov

Institute of System Dynamics and Control Theory, SB RAS, Novosibirsk
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Abstract: We consider the generalized Cauchy problem with data on two characteristic surfaces. We prove an existence and uniqueness theorem for solutions to problems in the class of analytic functions.
Keywords: partial differential equations, quasilinear system, initial-boundary value problem, analytic solution, series, convergence, majorant.
Received: 24.04.2009
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: A. L. Kazakov, “The Generalized Cauchy Problem for a Quasilinear System with Two Singularities”, Sib. Zh. Ind. Mat., 12:4 (2009), 51–63
Citation in format AMSBIB
\Bibitem{Kaz09}
\by A.~L.~Kazakov
\paper The Generalized Cauchy Problem for a~Quasilinear System with Two Singularities
\jour Sib. Zh. Ind. Mat.
\yr 2009
\vol 12
\issue 4
\pages 51--63
\mathnet{http://mi.mathnet.ru/sjim582}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2668811}
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