On the Existence, Uniqueness, and Nonexistence of Solutions of One Boundary-Value Problem for a Semilinear Hyperbolic Equation
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We consider a boundary-value problem for a semilinear hyperbolic equation with iterated multidimensional wave operator in the principal part. The theorems on existence, uniqueness, and nonexistence of solutions of this problem are established.
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- 1.S. Kharibegashvili and B. Midodashvili, “Solvability of characteristic boundary-value problems for nonlinear equations with iterated wave operator in the principal part,” Electron. J. Different. Equat., No. 72 (2008).Google Scholar
- 4.O. A. Ladyzhenskaya, Boundary-Value Problems of Mathematical Physics [in Russian], Nauka, Moscow (1973).Google Scholar
- 5.A. Kufner and S. Fuˇcik, Nonlinear Differential Equations [Russian translation], Nauka, Moscow (1988).Google Scholar
- 6.V. A. Trenogin, Functional Analysis [in Russian], Nauka, Moscow (1993).Google Scholar