一类非自治拟线性双曲方程的精确边界能观性
首发时间:2011-07-22
摘要:在非自治拟线性双曲方程混合初边值问题半整体$C^2$解存在唯一性的理论基础,,本文主要解决一类具有两个非零异号特征值,且具一般非线性边界条件的非自治拟线性双曲方程的精确边界能观性,并将此应用到边界条件中未知函数没有耦合关系,但方程组本身具有某种耦合关系的一阶非自治拟线性双曲型方程组混合初边值问题的单侧精确边界能观性。
关键词: 非自治拟线性双曲方程 半整体$C^2$解 精确边界能观性
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Excat Boundary Observability For A Kind Of Nonautonomous Quasilinear Hyperbolic Equation
Abstract:By means of the theory on the semiglobal $C^2$ solution to the mixed initial-boundary value problem for nonautonomous quasilinear hyperbolic equation,we establish the local exact boundary observability for the mixed initial-boundary value problem for a kind of nonautonomous quasilinear hyperbolic equation with two different sign eigenvalues and the local exact boundary observability for the one-side exact boundary observability for first order nonautonomous quasilinear hyperbolic systems
Keywords: nonautonomous second-order quasilinear hyperbolic equation semiglobal $C^2$ solution exact boundary observability
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