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Cauchy problem for a generalized nonlinear Liouville equation. (English. Russian original) Zbl 1243.35111

Differ. Equ. 47, No. 12, 1763-1775 (2011); translation from Differ. Uravn. 47, No. 12, 1741-1753 (2011).
Summary: We consider the Cauchy problem for a generalized Liouville equation. We study the existence, uniqueness, and absence of a global solution of this problem. We also discuss the local solvability of the problem.

MSC:

35L15 Initial value problems for second-order hyperbolic equations
35L71 Second-order semilinear hyperbolic equations
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References:

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