Existence and asymptotic behaviour of solutions to weakly damped wave equations of Kirchhoff type with nonlinear damping and source terms |
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| Authors: | Takeshi Taniguchi |
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| Affiliation: | Division of Mathematical Sciences, Graduate School of Comparative Culture, Kurume University, Miimachi, Kurume, Fukuoka 839-8502, Japan |
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| Abstract: | In this paper we consider the existence of a local solution in time to a weakly damped wave equation of Kirchhoff type with the damping term and the source term: |
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| Keywords: | Weakly damped wave equations Weak solutions Asymptotic behaviour of solutions |
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