摘要
研究具非线性耗散项的强迫拟线性波动方程的初值问题.对初值的C0模不加小性限制,而需其一阶导数的C0模足够小.利用几个关键的先验估计,证明初值问题的整体光滑解的存在性.
We consider the initial value problems of forced quasilinear wave equation with nonlinear dissipation. Not requiring that the C^0 norm of the initial data is small but the C^0 norm of the first-order derivative is sufficiently small, and using some prior estimates, we prove the existence of the global smooth solutions for the initial value problem.
出处
《华侨大学学报（自然科学版）》
CAS
北大核心
2006年第4期348-350,共3页
Journal of Huaqiao University(Natural Science)
基金
福建省自然科学基金资助项目(A97020)
关键词
非线性耗散项
强迫拟线性波动方程
先验估计
整体光滑解
nonlinear dissipation, forced quasilinear wave equations, priori estimate, globally smooth solution
