Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 11 Issue 1
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- Pages.153-167
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- 1996
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
The existence of solutions of a nonlinear wave equation
- Choi, Q-Heung (Department of Mathematics, Inha University) ;
- Jung, Tack-Sun (Department of Mathematics Kunsan National University)
- Published : 1996.01.01
Abstract
In this paper we investigate the existence of solutions of a nonlinear wave equation $u_{tt} - u_{xx} = p(x, t, u)$$ in $H_0$, where $H_0$ is the Hilbert space spanned by eigenfunctions. If p satisfy condition $(p_1) - (p_3)$, this nonlinear gave equation has at least one solution.