Periodic problem for a nonlinear‐damped wave equation on the boundary |
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Authors: | G O Antunes H R Crippa M D G da Silva |
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Institution: | 1. Instituto de Matemática e Estatística UERJ, Rio de Janeiro, Brazil;2. Universidade Federal do Rio de Janeiro, IM, Rio de Janeiro, Brazil |
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Abstract: | In this work we investigate the existence of periodic solutions in t for the following problem: We employ elliptic regularization and monotone method. We consider $\mbox{\boldmath{$\Omega$}}\mbox{\boldmath{$\subset$}}{\mathbb{R}}^{{{n}}} \ (n\geqslant 1)$ an open bounded set that has regular boundary Γ and Q=Ω ×(0,T), T>0, a cylinder of ${\mathbb{R}}^{n+1}$ with lateral boundary Σ = Γ × (0,T). Copyright © 2009 John Wiley & Sons, Ltd. |
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Keywords: | hyperbolic equation periodic solution elliptic regularization |
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