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Proceedings of the American Mathematical Society

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Doubly-periodic solutions of a forced semilinear wave equation


Authors: M. Arias, P. Martínez-Amores and R. Ortega
Journal: Proc. Amer. Math. Soc. 101 (1987), 503-508
MSC: Primary 35L70; Secondary 35B10
DOI: https://doi.org/10.1090/S0002-9939-1987-0908657-7
MathSciNet review: 908657
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Abstract: Existence results are obtained for doubly-periodic solutions of a semilinear wave equation when the nonlinearity is bounded in one side.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0908657-7
Keywords: Nonlinear wave equation, doubly periodic solutions, resonance, $ {L^\infty }$-bounds
Article copyright: © Copyright 1987 American Mathematical Society