一阶拟线性严格双曲型方程组弱间断解的精确能控性及能观性

在一阶拟线性双曲型方程组C1解的精确能控性及能观性的基础上,本文通过对弱间断解性质的研究,在初值和边值存在有限个弱间断点的情况下,得到一阶拟线性严格双曲型方程组混合初边值问题的半整体弱间断解的存在唯一性及相应的估计式,进而得到一阶拟线性严格双曲型方程组在弱间断解意义下相应的精确边界能控性及精确边界能观性。

Controllability and Observability of Weakly Discontinuous Solutions for First Order Quasilinear Hyperbolic Systems

Based on the theory of the local exact boundary controllability and observability of the C1 solution for first order quasilinear hyperbolic systems,we obtain,by studying properties of weakly discontinuous solutions,the existence and uniqueness of the semi-global weakly discontinuous solution to the mixed initial-boundary value problem for first order quasilinear hyperbolic systems,in which the initial and boundary data have finite weak discontinuities,then we get the local exact boundary controllability and...