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一类非自治拟线性双曲方程的精确边界能观性

发表时间:2012-01-15  浏览量:1493  下载量:631
全部作者: 徐海文,于立新
作者单位: 烟台大学数学与信息科学学院
摘 要: 在非自治拟线性双曲方程混合初边值问题半整体C2解存在唯一性的理论基础上,主要解决一类具有2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: 应用数学;非自治拟线性双曲方程;半整体C2解;精确边界能观性
Title: Exact boundary observability for a kind of nonautonomous quasilinear hyperbolic equation
Author: XU Haiwen, YU Lixin
Organization: School of Mathematics and Information Sciences, Yantai University
Abstract: Based on the theory that the semiglobal solution of the mixed initial-boundary value problem for nonautonomous quasilinear hyperbolic equation is unique, the paper establishes 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 applies it to the one-side exact boundary observability for first order nonautonomous quasilinear hyperbolic systems having unknown funcions in boundary conditions without coupling relationship but equitions with some coupling relationships.
Key words: applied mathematics; nonautonomous quasilinear hyperbolic equation; semiglobal C2 solution; exact boundary observability
发表期数: 2012年1月第1期
引用格式: 徐海文,于立新. 一类非自治拟线性双曲方程的精确边界能观性[J]. 中国科技论文在线精品论文,2012,5(1):51-59.
 
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