机构地区: 佛山大学
出 处: 《数学理论与应用》 2003年第1期1-10,共10页
摘 要: 本文用 Kato关于拟线性演化方程的初值问题的存在性定理证明了浅水波方程在半无界直线上初 值问题局部解的存在性 ,用解的先估计证明了整体解的存在性或解的 Blow- up性质。并给出了解关于 In this paper,using kato's existance theorem about the initial value problem of Quasi-linear equation of evolution,we prove the existemce of local solution of initial bocendary value problem for shallow water ware equation. The global existence of solution was proved by a priori estimates.we iso give the Blow-up Property of locution and asymptotic estimates about variable x.