Geodesic
The Generalized Cauchy Problem for a~Quasilinear System with Two Singularities
Sibirskij žurnal industrialʹnoj matematiki, Tome 12 (2009) no. 4, pp. 51-63

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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
Mots-clés : convergence, majorant. 
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     author = {A. L. Kazakov},
     title = {The {Generalized} {Cauchy} {Problem} for {a~Quasilinear} {System} with {Two} {Singularities}},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {51--63},
     publisher = {mathdoc},
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     number = {4},
     year = {2009},
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     url = {http://geodesic.mathdoc.fr/item/SJIM_2009_12_4_a5/}
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A. L. Kazakov. The Generalized Cauchy Problem for a~Quasilinear System with Two Singularities. Sibirskij žurnal industrialʹnoj matematiki, Tome 12 (2009) no. 4, pp. 51-63. http://geodesic.mathdoc.fr/item/SJIM_2009_12_4_a5/