Theoretical and computational results of a wave equation with variable exponent and time-dependent nonlinear damping
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DOI: 10.1007/s40065-021-00312-6
Abstract: We study the following wave equation $$u_{tt}-\Delta u+\alpha (t)\left| u_{t}\right| ^{m(\cdot )-2}u_{t}=0$$ with a nonlinear damping having a variable exponent m(x) and a time-dependent coefficient $$\alpha (t)$$ . We use the multiplier method to establish… read more here.
Keywords: time dependent; exponent time; wave equation; nonlinear damping ... See more keywords