Euler-Bernoulli方程在混合边界控制下的能量指数衰减

Exponential decay of energy for Euler-Bernoulli equation with mixed boundary control

研究一类Euler-Bernoulli方程的能量衰减问题.在混合边界控制下,利用耗散反馈算子和变量替换,建立了能量衰减不等式,证明了Euler-Bernoulli方程解的能量是指数衰减的.

The energy decay of a class of Euler-Bernoulli equations is studied.Under mixed boundary control,the dissipative feedback operator and variable substitution are used to establish an energy estimation inequality.It is proved that the energy of the solution of Euler-Bernoulli equation decays exponentially.