山西大学学报（自然科学版）
山西大學學報（自然科學版）
산서대학학보（자연과학판）
JOURNAL OF SHANXI UNIVERSITY
2009年
3期
330-332
,共3页
波动方程%局部精确零可控%半线性
波動方程%跼部精確零可控%半線性
파동방정%국부정학령가공%반선성
wave equation%locally exactly null-controllable%semilinear
运用压缩映像原理,讨论半线性波动方程{y_(tt)-Δy+f(y)=0,Ω×(0,T),
y(x,0)=y~0(x),y_t(x,0)=y~1(x),Ω
y=v,г×(0,T)在L~2(Ω)×H~(-1)(Ω)上的局部精确可控性.
運用壓縮映像原理,討論半線性波動方程{y_(tt)-Δy+f(y)=0,Ω×(0,T),
y(x,0)=y~0(x),y_t(x,0)=y~1(x),Ω
y=v,г×(0,T)在L~2(Ω)×H~(-1)(Ω)上的跼部精確可控性.
운용압축영상원리,토론반선성파동방정{y_(tt)-Δy+f(y)=0,Ω×(0,T),
y(x,0)=y~0(x),y_t(x,0)=y~1(x),Ω
y=v,г×(0,T)재L~2(Ω)×H~(-1)(Ω)상적국부정학가공성.
Consider the following problem ｛y(tt)-Δy + f(y) =0, in Ω×(0,T), y(x,0) = y~0(x),y_t(x,0) = y~1(x), in Ω, y = v, on Γ (0,T). It is proved by contraction map theorem that the problem is locally exactly null-controllable.
