论文标题
具有过去病史,非线性阻尼和对数非线性的粘弹性板方程中的衰减估计值
Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity
论文作者
论文摘要
在本文中,我们考虑了具有过去历史,非线性阻尼和对数非线性的粘弹性板方程。我们证明了对过去历史的粘弹板方程的溶液的明确和一般衰减率结果。凸的性质,对数不平等和普遍的Young不平等现象主要用于证明衰减估计值。
In this article, we consider a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity. We prove explicit and general decay rate results of the solution to the viscoelastic plate equation with past history. Convex properties, logarithmic inequalities, and generalised Young's inequality are mainly used to prove the decay estimate.