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Model problems for two nonlinear equations that type depends on the solution
Isaac I. Vainshtein Institute of Space and Information Technologies, Siberian Federal University, Kirenskogo, 26, Krasnoyarsk, 660041, Russia
Abstract:
Model problems for two nonlinear second-order partial differential equations that type depends on the solution are considered in this article. One of the equations can be called a nonlinear analog of the Lavrent'ev–Bitsadze equation.
Keywords:
type of equation, elliptic and hyperbolic equations, Lavrentev–Bitsadze's equation, Tricomi problem.
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UDC:
517.956.6 Received: 18.02.2013 Received in revised form: 25.06.2013 Accepted: 10.09.2013
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Citation:
Isaac I. Vainshtein, “Model problems for two nonlinear equations that type depends on the solution”, J. Sib. Fed. Univ. Math. Phys., 6:4 (2013), 539–547
Citation in format AMSBIB
\Bibitem{Vai13}
\by Isaac~I.~Vainshtein
\paper Model problems for two nonlinear equations that type depends on the solution
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2013
\vol 6
\issue 4
\pages 539--547
\mathnet{http://mi.mathnet.ru/jsfu328}
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http://mi.mathnet.ru/eng/jsfu328 http://mi.mathnet.ru/eng/jsfu/v6/i4/p539
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