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Global solvability and general decay of a transmission problem for kirchhoff-type wave equations with nonlinear damping and delay term
2020
Communications on Pure and Applied Analysis
A transmission problem for Kirchhoff-type wave equations with nonlinear damping and delay term in the internal feedback is considered under a memory condition on one part of the boundary. By virtue of multiplier method, Faedo-Galerkin approximation and energy perturbation technique, we establish the appropriate conditions to guarantee the existence of global solution, and derive a general decay estimate of the energy, which includes exponential, algebraic and logarithmic decay etc. 2000
doi:10.3934/cpaa.2020043
fatcat:vfw5de7ejnhbvp3tqp22q7ycx4