Abstract：This paper considers the existence of global smooth solution to initial boundary value problem to a quasilinear hyperbolic equationu t+(12u2) x=-u2x(1)with singularity at x=0 Applying a function transformation, it transforms (1) into a regular hyperbolic equation. Then, by using the maximum principle of the first order quasilinear hyperbolic system established by ,, it obtains C1-norm estimates to the corresponding problem and proves the existence of global smooth solution to the inital boundary value problem.
收稿日期: 2002-03-25
引用本文:
高永东,皮上超. 一个奇异双曲型方程整体光滑解的存在性[J]. , 2002, 41(3): 0-0.
高永东,皮上超. Existence of global smooth solution to a hyperbolic equation with singularity. , 2002, 41(3): 0-0.
