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Sibirskii Zhurnal Industrial'noi Matematiki, 2009, Volume 12, Number 4, Pages 51–63
(Mi sjim582)
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The Generalized Cauchy Problem for a Quasilinear System with Two Singularities
A. L. Kazakov Institute of System Dynamics and Control Theory, SB RAS, Novosibirsk
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
Citation:
A. L. Kazakov, “The Generalized Cauchy Problem for a Quasilinear System with Two Singularities”, Sib. Zh. Ind. Mat., 12:4 (2009), 51–63
Linking options:
https://www.mathnet.ru/eng/sjim582 https://www.mathnet.ru/eng/sjim/v12/i4/p51
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