摘要
数学物理方程在科学实践和工程技术中有广泛的应用。研究了n维双曲型方程解的能量估计,得到了既有理论意义又有应用价值的能量不等式。对双曲型方程的典型代表——波动方程,应用能量不等式,证明了其初边值问题解的唯一性和稳定性。
Mathematical-physical equations had extensive applications in science and engineering.The thesis studied the energy estimates of solution to n dimensional hyperbolic equation,and got an energy inequality,which contained both theories and application.For wave equation-typical model of hyperbolic equation,it is proved that its solution to mixed initial boundary value problem is unique and stable by applying energy inequality.
出处
《长江大学学报（自科版）（上旬）》
CAS
2007年第4期17-20,共4页
JOURNAL OF YANGTZE UNIVERSITY (NATURAL SCIENCE EDITION) SCI ＆ ENG
关键词
双曲型方程
能量估计
初边值问题
稳定性
唯一性
hyperbolic equation
energy estimation
mixed initial boundary value problem
stability
uniqueness
