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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 1, Pages 160–177 (Mi smj1155)  
A boundary value problem for mixed-type equations in domains with multiply connected hyperbolicity subdomains

M. E. Lernera, O. A. Repinb

a Samara State Technical University
b Samara State Academy of Economics
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Abstract: Unlike the familiar problems for mixed-type equations, we pose a boundary value problem for the Lavrent'ev–Bitsadze equation in domains with unbounded multiply connected hyperbolicity subdomains. We prove unique solvability in explicit form. We also study this problem for the general Lavrent'ev–Bitsadze equation.
Keywords: Lavrent'ev–Bitsadze equation, mixed-type equation, maximum principle, Tricomi problem.
Received: 08.04.2002
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 1, Pages 132–146
DOI: https://doi.org/10.1023/A:1022024606743
Bibliographic databases:
UDC: 517.956.6
Language: Russian
Citation: M. E. Lerner, O. A. Repin, “A boundary value problem for mixed-type equations in domains with multiply connected hyperbolicity subdomains”, Sibirsk. Mat. Zh., 44:1 (2003), 160–177; Siberian Math. J., 44:1 (2003), 132–146
Citation in format AMSBIB
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\paper A boundary value problem for mixed-type equations in domains with multiply connected hyperbolicity subdomains
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\vol 44
\issue 1
\pages 160--177
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1967614}
\zmath{https://zbmath.org/?q=an:1049.35146}
\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 1
\pages 132--146
\crossref{https://doi.org/10.1023/A:1022024606743}
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