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Weakly Coupled Systems of Semilinear Damped Waves with Different Scale‐Invariant Time‐Dependent Dissipation Terms

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  • Abdelhamid Mohammed Djaouti

Abstract

In this paper, our interest is the global existence of small data solutions to the Cauchy problem for weakly coupled systems of semilinear damped waves with different scale‐invariant dissipation terms, where the data are supposed to belong to different classes of regularity and different power nonlinearities.

Suggested Citation

  • Abdelhamid Mohammed Djaouti, 2022. "Weakly Coupled Systems of Semilinear Damped Waves with Different Scale‐Invariant Time‐Dependent Dissipation Terms," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:4624843
    DOI: 10.1155/2022/4624843
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    References listed on IDEAS

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    1. Zhang, Huiqun, 2008. "New exact travelling wave solutions for some nonlinear evolution equations, Part II," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1328-1334.
    2. Wanderley Nunes do Nascimento & Alessandro Palmieri & Michael Reissig, 2017. "Semi-linear wave models with power non-linearity and scale-invariant time-dependent mass and dissipation," Mathematische Nachrichten, Wiley Blackwell, vol. 290(11-12), pages 1779-1805, August.
    3. Li, Bacui & Zhang, Yufeng, 2008. "Explicit and exact travelling wave solutions for Konopelchenko–Dubrovsky equation," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1202-1208.
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