数学物理学报
數學物理學報
수학물이학보
ACTA MATHEMATICA SCIENTIA
2010年
1期
197-206
,共10页
Timoshenko梁%局部非线性反馈%乘子法%能量衰减估计
Timoshenko樑%跼部非線性反饋%乘子法%能量衰減估計
Timoshenko량%국부비선성반궤%승자법%능량쇠감고계
Timoshenko beam%Local nonlinear feedback%Multiplier method%Energy decay estimates
该文考虑具有局部非线性反馈的非均质Timoshenko梁的能量衰减估计.由非线性算子半群理论得到系统的适定性;应用乘子方法,给出了系统的能量衰减估计.
該文攷慮具有跼部非線性反饋的非均質Timoshenko樑的能量衰減估計.由非線性算子半群理論得到繫統的適定性;應用乘子方法,給齣瞭繫統的能量衰減估計.
해문고필구유국부비선성반궤적비균질Timoshenko량적능량쇠감고계.유비선성산자반군이론득도계통적괄정성;응용승자방법,급출료계통적능량쇠감고계.
In this paper,it is considered that the energy decay estimates of the nonhomoge-neous Timoshenko beam with a local nonlinear feedback. The well-posedness of the system is proved via the nonlinear operator semigroup theory. By virtue of multiplier method,the energy decay estimates of the system is given.